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204690264 = 23347792297
BaseRepresentation
bin11000011001101…
…01001101011000
3112021011100020220
430030311031120
5404400042024
632151120040
75033560422
oct1414651530
9467140226
10204690264
11a55a6909
1258673020
133353a0cc
141d283812
1512e83e79
hexc335358

204690264 has 64 divisors (see below), whose sum is σ = 529459200. Its totient is φ = 65904384.

The previous prime is 204690263. The next prime is 204690281. The reversal of 204690264 is 462096402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204690263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87964 + ... + 90260.

It is an arithmetic number, because the mean of its divisors is an integer number (8272800).

Almost surely, 2204690264 is an apocalyptic number.

204690264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204690264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264729600).

204690264 is an abundant number, since it is smaller than the sum of its proper divisors (324768936).

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

204690264 is a wasteful number, since it uses less digits than its factorization.

204690264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 204690264 is about 14307.0005242189. Note that the first 3 decimals coincide. The cubic root of 204690264 is about 589.3397420982.

The spelling of 204690264 in words is "two hundred four million, six hundred ninety thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 79 94 141 158 188 237 282 316 376 474 564 632 948 1128 1896 2297 3713 4594 6891 7426 9188 11139 13782 14852 18376 22278 27564 29704 44556 55128 89112 107959 181463 215918 323877 362926 431836 544389 647754 725852 863672 1088778 1295508 1451704 2177556 2591016 4355112 8528761 17057522 25586283 34115044 51172566 68230088 102345132 204690264