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2205202433252 = 2271325928128109
BaseRepresentation
bin100000000101110000010…
…011101100010011100100
321210211000100102112020112
4200011300103230103210
5242112223310331002
64405020033152152
7315214654256660
oct40056023542344
97724010375215
102205202433252
117802483140a5
122b74719bb658
1312cc4663bb00
1478a378898a0
153c568043852
hex201704ec4e4

2205202433252 has 144 divisors (see below), whose sum is σ = 4874166057600. Its totient is φ = 854519178240.

The previous prime is 2205202433243. The next prime is 2205202433299. The reversal of 2205202433252 is 2523342025022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78437774 + ... + 78465882.

It is an arithmetic number, because the mean of its divisors is an integer number (33848375400).

Almost surely, 22205202433252 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 2205202433252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437083028800).

2205202433252 is an abundant number, since it is smaller than the sum of its proper divisors (2668963624348).

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

2205202433252 is a wasteful number, since it uses less digits than its factorization.

2205202433252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28486 (or 28471 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 2205202433252 its reverse (2523342025022), we get a palindrome (4728544458274).

The spelling of 2205202433252 in words is "two trillion, two hundred five billion, two hundred two million, four hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 169 182 236 281 338 364 413 562 676 767 826 1124 1183 1534 1652 1967 2366 3068 3653 3934 4732 5369 7306 7868 9971 10738 14612 16579 19942 21476 25571 28109 33158 39884 47489 51142 56218 66316 69797 94978 102284 112436 116053 139594 189956 196763 215527 232106 279188 332423 365417 393526 431054 464212 664846 730834 787052 862108 1329692 1461668 1508689 1658431 2557919 2801851 3017378 3316862 4750421 5115838 5603702 6034756 6633724 7898629 9500842 10231676 11207404 11609017 15797258 19001684 19612957 21559603 23218034 31594516 33252947 39225914 43119206 46436068 55290403 66505894 78451828 86238412 102682177 110580806 133011788 150917221 205364354 221161612 280274839 301834442 410728708 466019111 560549678 603668884 718775239 932038222 1121099356 1334868301 1437550478 1864076444 1961923873 2669736602 2875100956 3262133777 3923847746 5339473204 6058248443 6524267554 7847695492 9344078107 12116496886 13048535108 18688156214 24232993772 37376312428 42407739101 78757229759 84815478202 157514459518 169630956404 315028919036 551300608313 1102601216626 2205202433252