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23222122122232 = 23112394395414649
BaseRepresentation
bin1010100011110110100100…
…10101110000101111111000
310001020000100121200201021201
411101323102111300233320
511020432401230402412
6121220032353343544
74614512556122125
oct521732225605770
9101200317621251
1023222122122232
1174434a05a1860
122730729867bb4
13cc5ab5372957
145a3d572c574c
152a40d9c51e57
hex151ed2570bf8

23222122122232 has 128 divisors (see below), whose sum is σ = 47905862400000. Its totient is φ = 10465764019200.

The previous prime is 23222122122187. The next prime is 23222122122247.

23222122122232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23222122122232.

It is a congruent number.

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, 4995076644 + ... + 4995081292.

It is an arithmetic number, because the mean of its divisors is an integer number (374264550000).

Almost surely, 223222122122232 is an apocalyptic number.

23222122122232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23222122122232 is an abundant number, since it is smaller than the sum of its proper divisors (24683740277768).

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

23222122122232 is a wasteful number, since it uses less digits than its factorization.

23222122122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5881 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 2322212 and 2122232, that added together give a palindrome (4444444).

The spelling of 23222122122232 in words is "twenty-three trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 239 439 478 541 878 956 1082 1756 1912 2164 2629 3512 4328 4649 4829 5258 5951 9298 9658 10516 11902 18596 19316 21032 23804 37192 38632 47608 51139 102278 104921 129299 204556 209842 237499 258598 409112 419684 474998 517196 839368 949996 1034392 1111111 1154131 1422289 1899992 2040911 2222222 2308262 2515109 2612489 2844578 4081822 4444444 4616524 5030218 5224978 5689156 8163644 8888888 9233048 10060436 10449956 11378312 12222221 16327288 20120872 20899912 22450021 24444442 27666199 44900042 48888884 55332398 56762261 89800084 97777768 110664796 113524522 179600168 221329592 227049044 454098088 487777729 601111051 624384871 975555458 1104132851 1202222102 1248769742 1951110916 2208265702 2404444204 2497539484 3902221832 4416531404 4808888408 4995078968 5365555019 6612221561 8833062808 10731110038 12145461361 13224443122 21462220076 24290922722 26448886244 42924440152 48581845444 52897772488 97163690888 263887751389 527775502778 1055551005556 2111102011112 2902765265279 5805530530558 11611061061116 23222122122232