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230106722160 = 24357436734733
BaseRepresentation
bin1101011001001101101…
…1011110111101110000
3210222221112101122011010
43112103123132331300
512232224310102120
6253413133350520
722424154603120
oct3262333367560
9728845348133
10230106722160
1189651278167
123871a338440
131891183c683
14b1cc78ac80
155ebb62e7e0
hex35936def70

230106722160 has 320 divisors, whose sum is σ = 835610231808. Its totient is φ = 51285491712.

The previous prime is 230106722143. The next prime is 230106722173. The reversal of 230106722160 is 61227601032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48615154 + ... + 48619886.

Almost surely, 2230106722160 is an apocalyptic number.

230106722160 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 230106722160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417805115904).

230106722160 is an abundant number, since it is smaller than the sum of its proper divisors (605503509648).

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

230106722160 is a wasteful number, since it uses less digits than its factorization.

230106722160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 230106722160 in words is "two hundred thirty billion, one hundred six million, seven hundred twenty-two thousand, one hundred sixty".