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230144410152 = 23325216135221
BaseRepresentation
bin1101011001010110101…
…1010000001000101000
3211000001011022101100200
43112111223100020220
512232313432111102
6253421001232200
722425123131466
oct3262553201050
9730034271320
10230144410152
1189670579768
123872aa92660
13189195a6a67
14b1d379b836
155ebeac651c
hex3595ad0228

230144410152 has 48 divisors (see below), whose sum is σ = 624504247380. Its totient is φ = 76567545600.

The previous prime is 230144410103. The next prime is 230144410201. The reversal of 230144410152 is 251014441032.

230144410152 is a `hidden beast` number, since 230 + 1 + 4 + 4 + 410 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (230144410103) and next prime (230144410201).

It can be written as a sum of positive squares in 2 ways, for example, as 230117846436 + 26563716 = 479706^2 + 5154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3030099 + ... + 3105122.

Almost surely, 2230144410152 is an apocalyptic number.

It is an amenable number.

230144410152 is an abundant number, since it is smaller than the sum of its proper divisors (394359837228).

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

230144410152 is a wasteful number, since it uses less digits than its factorization.

230144410152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135754 (or 6135747 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 230144410152 its reverse (251014441032), we get a palindrome (481158851184).

The spelling of 230144410152 in words is "two hundred thirty billion, one hundred forty-four million, four hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 521 1042 1563 2084 3126 4168 4689 6252 9378 12504 18756 37512 6135221 12270442 18405663 24540884 36811326 49081768 55216989 73622652 110433978 147245304 220867956 441735912 3196450141 6392900282 9589350423 12785800564 19178700846 25571601128 28768051269 38357401692 57536102538 76714803384 115072205076 230144410152