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230083544352 = 25310332320139
BaseRepresentation
bin1101011001001000001…
…1000100010100100000
3210222212220210002011210
43112102003010110200
512232202341404402
6253410544510120
722423453600254
oct3262203042440
9728786702153
10230083544352
118963a187352
123871261b340
1318909ab59ac
14b1c9676264
155eb95a206c
hex35920c4520

230083544352 has 48 divisors (see below), whose sum is σ = 604554239520. Its totient is φ = 76620237312.

The previous prime is 230083544311. The next prime is 230083544413. The reversal of 230083544352 is 253445380032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 230083544352.

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 7 ways as a sum of consecutive naturals, for example, 1060902 + ... + 1259237.

It is an arithmetic number, because the mean of its divisors is an integer number (12594879990).

Almost surely, 2230083544352 is an apocalyptic number.

It is an amenable number.

230083544352 is an abundant number, since it is smaller than the sum of its proper divisors (374470695168).

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

230083544352 is a wasteful number, since it uses less digits than its factorization.

230083544352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321185 (or 2321177 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 230083544352 in words is "two hundred thirty billion, eighty-three million, five hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1033 2066 3099 4132 6198 8264 12396 16528 24792 33056 49584 99168 2320139 4640278 6960417 9280556 13920834 18561112 27841668 37122224 55683336 74244448 111366672 222733344 2396703587 4793407174 7190110761 9586814348 14380221522 19173628696 28760443044 38347257392 57520886088 76694514784 115041772176 230083544352