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230336772000 = 2535319253171
BaseRepresentation
bin1101011010000100100…
…1000011011110100000
3211000112120021101012120
43112201021003132200
512233212203201000
6253452032224240
722432650154266
oct3264111033640
9730476241176
10230336772000
118975a114aa5
123878339b080
131894a3b853a
14b211152436
155ed19226a0
hex35a12437a0

230336772000 has 288 divisors, whose sum is σ = 796403409984. Its totient is φ = 58189248000.

The previous prime is 230336771993. The next prime is 230336772007. The reversal of 230336772000 is 277633032.

It is an interprime number because it is at equal distance from previous prime (230336771993) and next prime (230336772007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230336772007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4305415 + ... + 4358585.

It is an arithmetic number, because the mean of its divisors is an integer number (2765289618).

Almost surely, 2230336772000 is an apocalyptic number.

230336772000 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 230336772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398201704992).

230336772000 is an abundant number, since it is smaller than the sum of its proper divisors (566066637984).

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

230336772000 is a wasteful number, since it uses less digits than its factorization.

230336772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53237 (or 53200 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 33.

The spelling of 230336772000 in words is "two hundred thirty billion, three hundred thirty-six million, seven hundred seventy-two thousand".