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230456654032 = 24111309412807
BaseRepresentation
bin1101011010100001001…
…0010111100011010000
3211000211220212000102211
43112220102113203100
512233433400412112
6253511553521504
722435634144503
oct3265022274320
9730756760384
10230456654032
1189810856160
12387b7573294
13189691a0857
14b22303b13a
155edc2030a7
hex35a84978d0

230456654032 has 20 divisors (see below), whose sum is σ = 487101564576. Its totient is φ = 104753024480.

The previous prime is 230456654011. The next prime is 230456654069.

230456654032 is nontrivially palindromic in base 10.

230456654032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304566540322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 654706228 + ... + 654706579.

Almost surely, 2230456654032 is an apocalyptic number.

230456654032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230456654032 is an abundant number, since it is smaller than the sum of its proper divisors (256644910544).

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

230456654032 is a wasteful number, since it uses less digits than its factorization.

230456654032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309412826 (or 1309412820 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 230456 and 654032, that added together give a palindrome (884488).

The spelling of 230456654032 in words is "two hundred thirty billion, four hundred fifty-six million, six hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1309412807 2618825614 5237651228 10475302456 14403540877 20950604912 28807081754 57614163508 115228327016 230456654032