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231022264320 = 22534517
BaseRepresentation
bin1101011100101000000…
…0000000000000000000
3211002022100010222220000
43113022000000000000
512241113144424240
6254044040520000
722455642563211
oct3271200000000
9732270128800
10231022264320
1189a81055581
1238934a80000
1318a294183b3
14b2781d1408
156021bcb430
hex35ca000000

231022264320 has 520 divisors, whose sum is σ = 876978621684. Its totient is φ = 57982058496.

The previous prime is 231022264313. The next prime is 231022264349. The reversal of 231022264320 is 23462220132.

It is a happy number.

231022264320 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 2 + 226 + 432 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229663309824 + 1358954496 = 479232^2 + 36864^2 .

It is a super-2 number, since 2×2310222643202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13589544952 + ... + 13589544968.

Almost surely, 2231022264320 is an apocalyptic number.

231022264320 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 231022264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438489310842).

231022264320 is an abundant number, since it is smaller than the sum of its proper divisors (645956357364).

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

231022264320 is an frugal number, since it uses more digits than its factorization.

231022264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 231022264320 its reverse (23462220132), we get a palindrome (254484484452).

The spelling of 231022264320 in words is "two hundred thirty-one billion, twenty-two million, two hundred sixty-four thousand, three hundred twenty".