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2242458106168 = 2372913187104711
BaseRepresentation
bin100000101000011100111…
…010110011100100111000
321221101011202112210201011
4200220130322303210320
5243220023233344133
64434100535403304
7321004126255120
oct40503472634470
97841152483634
102242458106168
1179502615a625
1230272a823534
13133602c87697
147a76d7a5c80
153d4e8b3b6cd
hex20a1ceb3938

2242458106168 has 64 divisors (see below), whose sum is σ = 4971390681600. Its totient is φ = 927834472320.

The previous prime is 2242458106151. The next prime is 2242458106177. The reversal of 2242458106168 is 8616018542422.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21363333 + ... + 21468043.

It is an arithmetic number, because the mean of its divisors is an integer number (77677979400).

Almost surely, 22242458106168 is an apocalyptic number.

2242458106168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2242458106168 is an abundant number, since it is smaller than the sum of its proper divisors (2728932575432).

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

2242458106168 is a wasteful number, since it uses less digits than its factorization.

2242458106168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117940 (or 117936 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 2242458106168 in words is "two trillion, two hundred forty-two billion, four hundred fifty-eight million, one hundred six thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 13187 26374 52748 92309 104711 105496 184618 209422 369236 382423 418844 732977 738472 764846 837688 1465954 1529692 2676961 2931908 3036619 3059384 5353922 5863816 6073238 10707844 12146476 21256333 21415688 24292952 42512666 85025332 170050664 1380823957 2761647914 5523295828 9665767699 11046591656 19331535398 38663070796 40043894753 77326141592 80087789506 160175579012 280307263271 320351158024 560614526542 1121229053084 2242458106168