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230063708160 = 21133511213232
BaseRepresentation
bin1101011001000011011…
…1011001100000000000
3210222211112110022001000
43112100313121200000
512232132302130120
6253404555412000
722423123152636
oct3262067314000
9728745408030
10230063708160
1189629a69100
1238707a54000
131890595bcc0
14b1c6b91356
155eb7984990
hex3590dd9800

230063708160 has 1728 divisors, whose sum is σ = 1011975400800. Its totient is φ = 49244405760.

The previous prime is 230063708159. The next prime is 230063708201. The reversal of 230063708160 is 61807360032.

It is a happy number.

230063708160 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 637 + 0 + 8 + 16 + 0 = 666.

230063708160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 10002769909 + ... + 10002769931.

Almost surely, 2230063708160 is an apocalyptic number.

230063708160 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 230063708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505987700400).

230063708160 is an abundant number, since it is smaller than the sum of its proper divisors (781911692640).

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

230063708160 is a wasteful number, since it uses less digits than its factorization.

230063708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 230063708160 in words is "two hundred thirty billion, sixty-three million, seven hundred eight thousand, one hundred sixty".