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2212442323344 = 243311932349939
BaseRepresentation
bin100000001100011111110…
…101101011100110010000
321211111200220120001101000
4200030133311223212100
5242222040213321334
64412214301142000
7315562245313161
oct40143765534620
97744626501330
102212442323344
11783323016740
122b895255a900
1313082b557846
147912320d768
153c83d946299
hex2031fd6b990

2212442323344 has 160 divisors (see below), whose sum is σ = 6928731532800. Its totient is φ = 670351731840.

The previous prime is 2212442323337. The next prime is 2212442323363. The reversal of 2212442323344 is 4433232442122.

2212442323344 is a `hidden beast` number, since 221 + 2 + 4 + 423 + 2 + 3 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212442323299 and 2212442323308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44277927 + ... + 44327865.

It is an arithmetic number, because the mean of its divisors is an integer number (43304572080).

Almost surely, 22212442323344 is an apocalyptic number.

2212442323344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212442323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464365766400).

2212442323344 is an abundant number, since it is smaller than the sum of its proper divisors (4716289209456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2212442323344 is a wasteful number, since it uses less digits than its factorization.

2212442323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59290 (or 59278 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 2212442323344 its reverse (4433232442122), we get a palindrome (6645674765466).

The spelling of 2212442323344 in words is "two trillion, two hundred twelve billion, four hundred forty-two million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 9323 18646 27969 37292 49939 55938 74584 83907 99878 102553 111876 149168 149817 167814 199756 205106 223752 251721 299634 307659 335628 399512 410212 447504 449451 503442 549329 599268 615318 671256 799024 820424 898902 922977 1006884 1098658 1198536 1230636 1342512 1348353 1640848 1647987 1797804 1845954 2013768 2197316 2397072 2461272 2696706 2768931 3295974 3595608 3691908 4027536 4394632 4922544 4943961 5393412 5537862 6591948 7191216 7383816 8789264 9887922 10786824 11075724 13183896 14767632 14831883 19775844 21573648 22151448 26367792 29663766 39551688 44302896 59327532 79103376 118655064 237310128 465581297 931162594 1396743891 1862325188 2793487782 3724650376 4190231673 5121394267 5586975564 7449300752 8380463346 10242788534 11173951128 12570695019 15364182801 16760926692 20485577068 22347902256 25141390038 30728365602 33521853384 40971154136 46092548403 50282780076 61456731204 67043706768 81942308272 92185096806 100565560152 122913462408 138277645209 184370193612 201131120304 245826924816 276555290418 368740387224 553110580836 737480774448 1106221161672 2212442323344