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23431424232 = 23337415312143
BaseRepresentation
bin10101110100100111…
…110010100011101000
32020110222100200101010
4111310213302203220
5340441421033412
614433024423520
71456436551116
oct256447624350
966428320333
1023431424232
119a34478917
12465b177ba0
132295583a88
1411c3d12ab6
1592212e33c
hex5749f28e8

23431424232 has 128 divisors (see below), whose sum is σ = 62797109760. Its totient is φ = 7273543680.

The previous prime is 23431424231. The next prime is 23431424239. The reversal of 23431424232 is 23242413432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23431424232.

It is not an unprimeable number, because it can be changed into a prime (23431424231) 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, 1923553 + ... + 1935695.

It is an arithmetic number, because the mean of its divisors is an integer number (490602420).

Almost surely, 223431424232 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 23431424232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31398554880).

23431424232 is an abundant number, since it is smaller than the sum of its proper divisors (39365685528).

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

23431424232 is a wasteful number, since it uses less digits than its factorization.

23431424232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283 (or 12279 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 23431424232 its reverse (23242413432), we get a palindrome (46673837664).

The spelling of 23431424232 in words is "twenty-three billion, four hundred thirty-one million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 41 53 74 82 106 111 123 148 159 164 212 222 246 296 318 328 424 444 492 636 888 984 1272 1517 1961 2173 3034 3922 4346 4551 5883 6068 6519 7844 8692 9102 11766 12136 12143 13038 15688 17384 18204 23532 24286 26076 36408 36429 47064 48572 52152 72858 80401 97144 145716 160802 241203 291432 321604 449291 482406 497863 643208 643579 898582 964812 995726 1287158 1347873 1493589 1797164 1929624 1930737 1991452 2574316 2695746 2987178 3594328 3861474 3982904 5148632 5391492 5974356 7722948 10782984 11948712 15445896 18420931 23812423 26386739 36841862 47624846 52773478 55262793 71437269 73683724 79160217 95249692 105546956 110525586 142874538 147367448 158320434 190499384 211093912 221051172 285749076 316640868 442102344 571498152 633281736 976309343 1952618686 2928928029 3905237372 5857856058 7810474744 11715712116 23431424232