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230254807720 = 235741149227593
BaseRepresentation
bin1101011001110001000…
…0011000101010101000
3211000022212001011100111
43112130100120222220
512233030212321340
6253435543344104
722430633400340
oct3263420305250
9730285034314
10230254807720
1189717922023
123875ba52034
131893641b072
14b2042d7d20
155ec9631aea
hex359c418aa8

230254807720 has 256 divisors, whose sum is σ = 614319552000. Its totient is φ = 76036669440.

The previous prime is 230254807703. The next prime is 230254807723. The reversal of 230254807720 is 27708452032.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (230254807723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388287744 + ... + 388288336.

It is an arithmetic number, because the mean of its divisors is an integer number (2399685750).

Almost surely, 2230254807720 is an apocalyptic number.

230254807720 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 230254807720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307159776000).

230254807720 is an abundant number, since it is smaller than the sum of its proper divisors (384064744280).

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

230254807720 is a wasteful number, since it uses less digits than its factorization.

230254807720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 230254807720 in words is "two hundred thirty billion, two hundred fifty-four million, eight hundred seven thousand, seven hundred twenty".