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204225336 = 233272107541
BaseRepresentation
bin11000010110000…
…11101100111000
3112020021201111100
430023003230320
5404240202321
632133131400
75026613100
oct1413035470
9466251440
10204225336
11a5309577
1258489b60
13334065c3
141d1a2200
1512de1326
hexc2c3b38

204225336 has 144 divisors (see below), whose sum is σ = 650627640. Its totient is φ = 57697920.

The previous prime is 204225299. The next prime is 204225341. The reversal of 204225336 is 633522402.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 377226 + ... + 377766.

Almost surely, 2204225336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204225336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325313820).

204225336 is an abundant number, since it is smaller than the sum of its proper divisors (446402304).

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

204225336 is a wasteful number, since it uses less digits than its factorization.

204225336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 204225336 is about 14290.7430177720. The cubic root of 204225336 is about 588.8932003218.

Adding to 204225336 its reverse (633522402), we get a palindrome (837747738).

The spelling of 204225336 in words is "two hundred four million, two hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 107 126 147 168 196 214 252 294 321 392 428 441 504 541 588 642 749 856 882 963 1082 1176 1284 1498 1623 1764 1926 2164 2247 2568 2996 3246 3528 3787 3852 4328 4494 4869 5243 5992 6492 6741 7574 7704 8988 9738 10486 11361 12984 13482 15148 15729 17976 19476 20972 22722 26509 26964 30296 31458 34083 38952 41944 45444 47187 53018 53928 57887 62916 68166 79527 90888 94374 106036 115774 125832 136332 159054 173661 188748 212072 231548 238581 272664 318108 347322 377496 405209 463096 477162 520983 636216 694644 810418 954324 1041966 1215627 1389288 1620836 1908648 2083932 2431254 2836463 3241672 3646881 4167864 4862508 5672926 7293762 8509389 9725016 11345852 14587524 17018778 22691704 25528167 29175048 34037556 51056334 68075112 102112668 204225336