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220131749124 = 223272111712
BaseRepresentation
bin1100110100000011011…
…1111110110100000100
3210001012100201111120100
43031000313332310010
512101312211432444
6245043243204100
721622032665100
oct3150067766404
9701170644510
10220131749124
11853a26a72a1
12367b5816630
13179b20a5771
14a923aa0900
155ad5a66e69
hex3340dfed04

220131749124 has 81 divisors (see below), whose sum is σ = 647350116231. Its totient is φ = 62889155280.

The previous prime is 220131749111. The next prime is 220131749143. The reversal of 220131749124 is 421947131022.

The square root of 220131749124 is 469182.

It is a perfect power (a square), and thus also a powerful number.

220131749124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19700059 + ... + 19711229.

Almost surely, 2220131749124 is an apocalyptic number.

220131749124 is the 469182-nd square number.

It is an amenable number.

220131749124 is an abundant number, since it is smaller than the sum of its proper divisors (427218367107).

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

220131749124 is an equidigital number, since it uses as much as digits as its factorization.

220131749124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22366 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 220131749124 by its sum of digits (36), we get a square (7924742968464 = 28150922).

220131749124 divided by its sum of digits (36) gives a square (6114770809 = 781972).

The spelling of 220131749124 in words is "two hundred twenty billion, one hundred thirty-one million, seven hundred forty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 11171 22342 33513 44684 67026 78197 100539 134052 156394 201078 234591 312788 402156 469182 547379 703773 938364 1094758 1407546 1642137 2189516 2815092 3284274 4926411 6568548 9852822 19705644 124791241 249582482 374373723 499164964 748747446 873538687 1123121169 1497494892 1747077374 2246242338 2620616061 3494154748 4492484676 5241232122 6114770809 7861848183 10482464244 12229541618 15723696366 18344312427 24459083236 31447392732 36688624854 55032937281 73377249708 110065874562 220131749124