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22200122112 = 283717242911
BaseRepresentation
bin10100101011001110…
…101111101100000000
32010022011110001101220
4110223032233230000
5330431212401422
614110521355040
71414065632040
oct245316575400
963264401356
1022200122112
119462432363
124376938a80
13212a44ca3c
141108595720
1589deade5c
hex52b3afb00

22200122112 has 144 divisors (see below), whose sum is σ = 71497746432. Its totient is φ = 5969756160.

The previous prime is 22200122099. The next prime is 22200122117. The reversal of 22200122112 is 21122100222.

It is a super-2 number, since 2×222001221122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22200122091 and 22200122100.

It is not an unprimeable number, because it can be changed into a prime (22200122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30064 + ... + 212847.

It is an arithmetic number, because the mean of its divisors is an integer number (496512128).

Almost surely, 222200122112 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 22200122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748873216).

22200122112 is an abundant number, since it is smaller than the sum of its proper divisors (49297624320).

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

22200122112 is a wasteful number, since it uses less digits than its factorization.

22200122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242954 (or 242940 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22200122112 its reverse (21122100222), we get a palindrome (43322222334).

The spelling of 22200122112 in words is "twenty-two billion, two hundred million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5376 5712 6528 7616 11424 13056 15232 22848 30464 45696 91392 242911 485822 728733 971644 1457466 1700377 1943288 2914932 3400754 3886576 4129487 5101131 5829864 6801508 7773152 8258974 10202262 11659728 12388461 13603016 15546304 16517948 20404524 23319456 24776922 27206032 28906409 31092608 33035896 40809048 46638912 49553844 54412064 57812818 62185216 66071792 81618096 86719227 93277824 99107688 108824128 115625636 132143584 163236192 173438454 186555648 198215376 217648256 231251272 264287168 326472384 346876908 396430752 435296512 462502544 528574336 652944768 693753816 792861504 925005088 1057148672 1305889536 1387507632 1585723008 1850010176 2775015264 3171446016 3700020352 5550030528 7400040704 11100061056 22200122112