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230519055376 = 2429241392
BaseRepresentation
bin1101011010110000000…
…0011010010000010000
3211001000021021022222201
43112230000122100100
512234100334233001
6253522103212544
722440322432561
oct3265400322020
9731007238881
10230519055376
1189842aa7215
1238814447154
13189790ab81c
14b22b442168
155ee292c501
hex35ac01a410

230519055376 has 45 divisors (see below), whose sum is σ = 462674582461. Its totient is φ = 111258174272.

The previous prime is 230519055353. The next prime is 230519055409. The reversal of 230519055376 is 673550915032.

The square root of 230519055376 is 480124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120878600976 + 109640454400 = 347676^2 + 331120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55692315 + ... + 55696453.

Almost surely, 2230519055376 is an apocalyptic number.

230519055376 is the 480124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230519055376

230519055376 is an abundant number, since it is smaller than the sum of its proper divisors (232155527085).

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

230519055376 is an frugal number, since it uses more digits than its factorization.

230519055376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 46.

The spelling of 230519055376 in words is "two hundred thirty billion, five hundred nineteen million, fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 4139 6728 8278 13456 16556 33112 66224 120031 240062 480124 960248 1920496 3480899 6961798 13923596 17131321 27847192 34262642 55694384 68525284 137050568 274101136 496808309 993616618 1987233236 3974466472 7948932944 14407440961 28814881922 57629763844 115259527688 230519055376