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221534404132640 = 25519074871149057
BaseRepresentation
bin110010010111101111111111…
…011101101011111100100000
31002001101111000112011201112112
4302113233333131223330200
5213014104424424221030
62103055300021214452
764443222024303614
oct6227577735537440
91061344015151475
10221534404132640
1164651238819845
1220a1aa27861428
13967c7b2600341
143c9c472829344
151a9294189ba95
hexc97bff76bf20

221534404132640 has 96 divisors (see below), whose sum is σ = 523760496465024. Its totient is φ = 88548517396480.

The previous prime is 221534404132579. The next prime is 221534404132759. The reversal of 221534404132640 is 46231404435122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486164992 + ... + 1486314048.

It is an arithmetic number, because the mean of its divisors is an integer number (5455838504844).

Almost surely, 2221534404132640 is an apocalyptic number.

221534404132640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221534404132640 is an abundant number, since it is smaller than the sum of its proper divisors (302226092332384).

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

221534404132640 is a wasteful number, since it uses less digits than its factorization.

221534404132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155850 (or 155842 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

Adding to 221534404132640 its reverse (46231404435122), we get a palindrome (267765808567762).

The spelling of 221534404132640 in words is "two hundred twenty-one trillion, five hundred thirty-four billion, four hundred four million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1907 3814 4871 7628 9535 9742 15256 19070 19484 24355 30512 38140 38968 48710 61024 76280 77936 97420 149057 152560 155872 194840 298114 305120 389680 596228 745285 779360 1192456 1490570 2384912 2981140 4769824 5962280 9288997 11924560 18577994 23849120 37155988 46444985 74311976 92889970 148623952 185779940 284251699 297247904 371559880 568503398 726056647 743119760 1137006796 1421258495 1452113294 1486239520 2274013592 2842516990 2904226588 3630283235 4548027184 5685033980 5808453176 7260566470 9096054368 11370067960 11616906352 14521132940 22740135920 23233812704 29042265880 45480271840 58084531760 116169063520 1384590025829 2769180051658 5538360103316 6922950129145 11076720206632 13845900258290 22153440413264 27691800516580 44306880826528 55383601033160 110767202066320 221534404132640