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234663469920 = 253251125325411
BaseRepresentation
bin1101101010001100001…
…0000110001101100000
3211102201002201101221200
43122203002012031200
512321042322014140
6255445232321200
722645115404035
oct3324302061540
9742632641850
10234663469920
119057a458200
12395903a3200
13191898c4a19
14b501a2938c
1561866cc030
hex36a3086360

234663469920 has 432 divisors, whose sum is σ = 896849147376. Its totient is φ = 55812556800.

The previous prime is 234663469849. The next prime is 234663469921. The reversal of 234663469920 is 29964366432.

234663469920 is a `hidden beast` number, since 2 + 3 + 466 + 34 + 69 + 92 + 0 = 666.

234663469920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2346634699202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234663469921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9222015 + ... + 9247425.

It is an arithmetic number, because the mean of its divisors is an integer number (2076039693).

Almost surely, 2234663469920 is an apocalyptic number.

234663469920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234663469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448424573688).

234663469920 is an abundant number, since it is smaller than the sum of its proper divisors (662185677456).

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

234663469920 is a wasteful number, since it uses less digits than its factorization.

234663469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25507 (or 25485 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 234663469920 in words is "two hundred thirty-four billion, six hundred sixty-three million, four hundred sixty-nine thousand, nine hundred twenty".