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230453392896 = 2938312213
BaseRepresentation
bin1101011010100000010…
…1111011011000000000
3211000211200201100000000
43112220011323120000
512233432032033041
6253511400000000
722435564343016
oct3265005733000
9730750640000
10230453392896
1189809a29001
12387b6460000
13189685cb39c
14b22282c8b6
155edbcabbb6
hex35a817b600

230453392896 has 360 divisors, whose sum is σ = 713251116864. Its totient is φ = 74306211840.

The previous prime is 230453392891. The next prime is 230453392903. The reversal of 230453392896 is 698293354032.

It is a happy number.

230453392896 is a `hidden beast` number, since 2 + 304 + 53 + 3 + 9 + 289 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230453392891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104135086 + ... + 104137298.

Almost surely, 2230453392896 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 230453392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356625558432).

230453392896 is an abundant number, since it is smaller than the sum of its proper divisors (482797723968).

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

230453392896 is an frugal number, since it uses more digits than its factorization.

230453392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 230453392896 in words is "two hundred thirty billion, four hundred fifty-three million, three hundred ninety-two thousand, eight hundred ninety-six".