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224033004402042 = 231141443186887599
BaseRepresentation
bin110010111100000110111111…
…101001010011010101111010
31002101020100100021101121100010
4302330012333221103111322
5213331024043111331132
62112251201424322350
765121564461210163
oct6274067751232572
91071210307347303
10224033004402042
1165424955502780
122116311ba733b6
1398012b5cc9504
143d4738065a76a
151ad792c66c6cc
hexcbc1bfa5357a

224033004402042 has 64 divisors (see below), whose sum is σ = 501851514931200. Its totient is φ = 66083454652800.

The previous prime is 224033004402037. The next prime is 224033004402047. The reversal of 224033004402042 is 240204400330422.

It is an interprime number because it is at equal distance from previous prime (224033004402037) and next prime (224033004402047).

It is a super-2 number, since 2×2240330044020422 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224033004402047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92245042 + ... + 94642557.

It is an arithmetic number, because the mean of its divisors is an integer number (7841429920800).

Almost surely, 2224033004402042 is an apocalyptic number.

224033004402042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

224033004402042 is an abundant number, since it is smaller than the sum of its proper divisors (277818510529158).

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

224033004402042 is a wasteful number, since it uses less digits than its factorization.

224033004402042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186888099.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 224033004402042 its reverse (240204400330422), we get a palindrome (464237404732464).

The spelling of 224033004402042 in words is "two hundred twenty-four trillion, thirty-three billion, four million, four hundred two thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 443 451 886 902 1329 1353 2658 2706 4873 9746 14619 18163 29238 36326 54489 108978 199793 399586 599379 1198758 186887599 373775198 560662797 1121325594 2055763589 4111527178 6167290767 7662391559 12334581534 15324783118 22987174677 45974349354 82791206357 84286307149 165582412714 168572614298 248373619071 252858921447 496747238142 505717842894 910703269927 1821406539854 2732109809781 3394439460637 5464219619562 6788878921274 10183318381911 20366636763822 37338834067007 74677668134014 112016502201021 224033004402042