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221421251427732 = 22334519145367369
BaseRepresentation
bin110010010110000110100111…
…000010010111110110010100
31002000222122221201101202002000
4302112012213002113312110
5213010231210331141412
62102531304010115300
764432105011213636
oct6226064702276624
91060878851352060
10221421251427732
1164608252a99894
1220a00b0911bb30
139671c1bbb3a95
143c96bbaa4ca56
151a8ea1cae94dc
hexc961a7097d94

221421251427732 has 48 divisors (see below), whose sum is σ = 574067811811200. Its totient is φ = 73805448957120.

The previous prime is 221421251427731. The next prime is 221421251427781. The reversal of 221421251427732 is 237724152124122.

221421251427732 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 212 + 5 + 1 + 427 + 7 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221421251427731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17803057 + ... + 27564312.

It is an arithmetic number, because the mean of its divisors is an integer number (11959746079400).

Almost surely, 2221421251427732 is an apocalyptic number.

It is an amenable number.

221421251427732 is an abundant number, since it is smaller than the sum of its proper divisors (352646560383468).

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

221421251427732 is a wasteful number, since it uses less digits than its factorization.

221421251427732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45412573 (or 45412565 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 221421251427732 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred fifty-one million, four hundred twenty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 45191 90382 135573 180764 271146 406719 542292 813438 1220157 1626876 2440314 4880628 45367369 90734738 136102107 181469476 272204214 408306321 544408428 816612642 1224918963 1633225284 2449837926 4899675852 2050196772479 4100393544958 6150590317437 8200787089916 12301180634874 18451770952311 24602361269748 36903541904622 55355312856933 73807083809244 110710625713866 221421251427732