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22123001232 = 2434131130307
BaseRepresentation
bin10100100110101000…
…100011010110010000
32010002210022220110000
4110212220203112100
5330301442014412
614055124410000
71412141256603
oct244650432620
963083286400
1022123001232
1194229482a2
124354b46900
132117489c97
1410dc23c33a
158973284dc
hex526a23590

22123001232 has 100 divisors (see below), whose sum is σ = 64519660656. Its totient is φ = 7317984960.

The previous prime is 22123001227. The next prime is 22123001249. The reversal of 22123001232 is 23210032122.

It is a super-2 number, since 2×221230012322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104623 + ... + 234929.

Almost surely, 222123001232 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 22123001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32259830328).

22123001232 is an abundant number, since it is smaller than the sum of its proper divisors (42396659424).

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

22123001232 is a wasteful number, since it uses less digits than its factorization.

22123001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130458 (or 130443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123001232 its reverse (23210032122), we get a palindrome (45333033354).

The spelling of 22123001232 in words is "twenty-two billion, one hundred twenty-three million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 1048 1179 1296 1572 2096 2358 3144 3537 4716 6288 7074 9432 10611 14148 18864 21222 28296 42444 56592 84888 130307 169776 260614 390921 521228 781842 1042456 1172763 1563684 2084912 2345526 3127368 3518289 4691052 6254736 7036578 9382104 10554867 14073156 17070217 18764208 21109734 28146312 34140434 42219468 51210651 56292624 68280868 84438936 102421302 136561736 153631953 168877872 204842604 273123472 307263906 409685208 460895859 614527812 819370416 921791718 1229055624 1382687577 1843583436 2458111248 2765375154 3687166872 5530750308 7374333744 11061500616 22123001232