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10204755220 = 22511219211681
BaseRepresentation
bin10011000000100000…
…00011010100010100
3222100012001021111001
421200100003110110
5131344404131340
64404335153044
7510611662642
oct114020032424
928305037431
1010204755220
114367355700
121b89675784
13c6824acca
146cb422192
153ead5629a
hex260403514

10204755220 has 108 divisors (see below), whose sum is σ = 24862403412. Its totient is φ = 3515212800.

The previous prime is 10204755199. The next prime is 10204755233. The reversal of 10204755220 is 2255740201.

It can be written as a sum of positive squares in 2 ways, for example, as 4417197444 + 5787557776 = 66462^2 + 76076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 867780 + ... + 879460.

It is an arithmetic number, because the mean of its divisors is an integer number (230207439).

Almost surely, 210204755220 is an apocalyptic number.

10204755220 is a gapful number since it is divisible by the number (10) 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 10204755220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431201706).

10204755220 is an abundant number, since it is smaller than the sum of its proper divisors (14657648192).

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

10204755220 is a wasteful number, since it uses less digits than its factorization.

10204755220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11750 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The spelling of 10204755220 in words is "ten billion, two hundred four million, seven hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 361 380 418 484 605 722 836 1045 1210 1444 1805 2090 2299 2420 3610 3971 4180 4598 7220 7942 9196 11495 11681 15884 19855 22990 23362 39710 43681 45980 46724 58405 79420 87362 116810 128491 174724 218405 221939 233620 256982 436810 443878 513964 642455 873620 887756 1109695 1284910 1413401 2219390 2441329 2569820 2826802 4216841 4438780 4882658 5653604 7067005 8433682 9765316 12206645 14134010 16867364 21084205 24413290 26854619 28268020 42168410 46385251 48826580 53709238 84336820 92770502 107418476 134273095 185541004 231926255 268546190 463852510 510237761 537092380 927705020 1020475522 2040951044 2551188805 5102377610 10204755220