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230505776352 = 2533266789093
BaseRepresentation
bin1101011010101100110…
…1110000010011100000
3211000222100021200121000
43112223031300103200
512234033434320402
6253520510432000
722440101525325
oct3265315602340
9730870250530
10230505776352
1189836557515
123880bb02600
131897640c607
14b229786b4c
155ee16a7c1c
hex35ab3704e0

230505776352 has 48 divisors (see below), whose sum is σ = 672308516880. Its totient is φ = 76835258496.

The previous prime is 230505776329. The next prime is 230505776353. The reversal of 230505776352 is 253677505032.

230505776352 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 0 + 5 + 7 + 7 + 635 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230505776298 and 230505776307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230505776353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133393683 + ... + 133395410.

It is an arithmetic number, because the mean of its divisors is an integer number (14006427435).

Almost surely, 2230505776352 is an apocalyptic number.

It is an amenable number.

230505776352 is an abundant number, since it is smaller than the sum of its proper divisors (441802740528).

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

230505776352 is a wasteful number, since it uses less digits than its factorization.

230505776352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266789112 (or 266789098 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 230505776352 in words is "two hundred thirty billion, five hundred five million, seven hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 266789093 533578186 800367279 1067156372 1600734558 2134312744 2401101837 3201469116 4268625488 4802203674 6402938232 7203305511 8537250976 9604407348 12805876464 14406611022 19208814696 25611752928 28813222044 38417629392 57626444088 76835258784 115252888176 230505776352