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221416404324 = 223172347190197
BaseRepresentation
bin1100111000110101110…
…0100011010101100100
3210011111220000202012120
43032031130203111210
512111430044414244
6245414533545540
721665622245403
oct3161534432544
9704456022176
10221416404324
11859a1873805
1236ab3aa52b0
1317b5829a17b
14aa0654963a
155b5d725819
hex338d723564

221416404324 has 48 divisors (see below), whose sum is σ = 570812635008. Its totient is φ = 66443795968.

The previous prime is 221416404323. The next prime is 221416404359. The reversal of 221416404324 is 423404614122.

221416404324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221416404323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23590407 + ... + 23599790.

It is an arithmetic number, because the mean of its divisors is an integer number (11891929896).

Almost surely, 2221416404324 is an apocalyptic number.

It is an amenable number.

221416404324 is an abundant number, since it is smaller than the sum of its proper divisors (349396230684).

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

221416404324 is a wasteful number, since it uses less digits than its factorization.

221416404324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47190244 (or 47190242 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 221416404324 in words is "two hundred twenty-one billion, four hundred sixteen million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 47190197 94380394 141570591 188760788 283141182 566282364 802233349 1085374531 1604466698 2170749062 2406700047 3208933396 3256123593 4341498124 4813400094 6512247186 9626800188 13024494372 18451367027 36902734054 55354101081 73805468108 110708202162 221416404324