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230626532736 = 27321792714127
BaseRepresentation
bin1101011011001001101…
…0011001110110000000
3211001021202111202012200
43112302122121312000
512234310343021421
6253540502553200
722443066116625
oct3266232316600
9731252452180
10230626532736
1189898735586
1238844438800
131899543c8b2
14b23b81c34c
155eec0ac726
hex35b2699d80

230626532736 has 192 divisors, whose sum is σ = 669984307200. Its totient is φ = 76145495040.

The previous prime is 230626532729. The next prime is 230626532743. The reversal of 230626532736 is 637235626032.

230626532736 is a `hidden beast` number, since 2 + 30 + 6 + 265 + 327 + 36 = 666.

230626532736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230626532729) and next prime (230626532743).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 230626532691 and 230626532700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55880305 + ... + 55884431.

It is an arithmetic number, because the mean of its divisors is an integer number (3489501600).

Almost surely, 2230626532736 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 230626532736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334992153600).

230626532736 is an abundant number, since it is smaller than the sum of its proper divisors (439357774464).

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

230626532736 is a wasteful number, since it uses less digits than its factorization.

230626532736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 230626532736 in words is "two hundred thirty billion, six hundred twenty-six million, five hundred thirty-two thousand, seven hundred thirty-six".