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204233940 = 223351133347
BaseRepresentation
bin11000010110001…
…01110011010100
3112020022011022000
430023011303110
5404240441230
632133235300
75026650141
oct1413056324
9466264260
10204233940
11a5314a89
1258492b30
133340a4b1
141d1a53c8
1512de3b60
hexc2c5cd4

204233940 has 96 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 53964288.

The previous prime is 204233927. The next prime is 204233957. The reversal of 204233940 is 49332402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 59347 + ... + 62693.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2204233940 is an apocalyptic number.

204233940 is a gapful number since it is divisible by the number (20) 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 204233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

204233940 is an abundant number, since it is smaller than the sum of its proper divisors (436975020).

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

204233940 is a wasteful number, since it uses less digits than its factorization.

204233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 204233940 is about 14291.0440486341. The cubic root of 204233940 is about 588.9014702163.

The spelling of 204233940 in words is "two hundred four million, two hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 1017 1130 1356 1695 2034 2260 3051 3347 3390 4068 5085 6102 6694 6780 10041 10170 12204 13388 15255 16735 20082 20340 30123 30510 33470 40164 50205 60246 61020 66940 90369 100410 120492 150615 180738 200820 301230 361476 378211 451845 602460 756422 903690 1134633 1512844 1807380 1891055 2269266 3403899 3782110 4538532 5673165 6807798 7564220 10211697 11346330 13615596 17019495 20423394 22692660 34038990 40846788 51058485 68077980 102116970 204233940