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230324692320 = 25385219407
BaseRepresentation
bin1101011010000001101…
…0111110010101100000
3211000111201112200000000
43112200122332111200
512233201110123240
6253450521300000
722432442403462
oct3264032762540
9730451480000
10230324692320
1189753314398
123877b334600
1318947a491b8
14b20d6ca132
155ed0838430
hex35a06be560

230324692320 has 216 divisors, whose sum is σ = 816175380384. Its totient is φ = 61419638016.

The previous prime is 230324692309. The next prime is 230324692333. The reversal of 230324692320 is 23296423032.

It is a happy number.

230324692320 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 246 + 92 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940057 + ... + 1159463.

It is an arithmetic number, because the mean of its divisors is an integer number (3778589724).

Almost surely, 2230324692320 is an apocalyptic number.

230324692320 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 230324692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408087690192).

230324692320 is an abundant number, since it is smaller than the sum of its proper divisors (585850688064).

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

230324692320 is an frugal number, since it uses more digits than its factorization.

230324692320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219446 (or 219417 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 230324692320 in words is "two hundred thirty billion, three hundred twenty-four million, six hundred ninety-two thousand, three hundred twenty".