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22142305623204 = 22331320537681867
BaseRepresentation
bin1010000100011011010000…
…10000101101110010100100
32220101210011100110000211000
411002031220100231302210
510400234420214420304
6115032011302313300
74443504655250544
oct502155020556244
986353140400730
1022142305623204
117067554303888
1225973b1428830
13c48019ca0880
1456799c62d324
15285e8b1b7939
hex14236842dca4

22142305623204 has 96 divisors (see below), whose sum is σ = 61851942938240. Its totient is φ = 6809697661824.

The previous prime is 22142305623187. The next prime is 22142305623209. The reversal of 22142305623204 is 40232650324122.

22142305623204 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 3 + 0 + 5 + 623 + 20 + 4 = 666.

It is a super-2 number, since 2×221423056232042 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22142305623209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958522 + ... + 6723345.

Almost surely, 222142305623204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142305623204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30925971469120).

22142305623204 is an abundant number, since it is smaller than the sum of its proper divisors (39709637315036).

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

22142305623204 is a wasteful number, since it uses less digits than its factorization.

22142305623204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683946 (or 7683938 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 22142305623204 its reverse (40232650324122), we get a palindrome (62374955947326).

The spelling of 22142305623204 in words is "twenty-two trillion, one hundred forty-two billion, three hundred five million, six hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2053 4106 6159 8212 12318 18477 24636 26689 36954 53378 55431 73908 80067 106756 110862 160134 221724 240201 320268 480402 720603 960804 1441206 2882412 7681867 15363734 23045601 30727468 46091202 69136803 92182404 99864271 138273606 199728542 207410409 276547212 299592813 399457084 414820818 599185626 829641636 898778439 1198371252 1797556878 2696335317 3595113756 5392670634 10785341268 15770872951 31541745902 47312618853 63083491804 94625237706 141937856559 189250475412 205021348363 283875713118 410042696726 425813569677 567751426236 615064045089 820085393452 851627139354 1230128090178 1703254278708 1845192135267 2460256180356 3690384270534 5535576405801 7380768541068 11071152811602 22142305623204