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225022724982 = 232112103316219
BaseRepresentation
bin1101000110010001100…
…1100100101101110110
3210111211012221211010100
43101210121210231312
512141321304144412
6251212441534530
722154162413656
oct3214431445566
9714735854110
10225022724982
1187482509900
123773b7a4446
13182b1481213
14ac694a2366
155cc0134edc
hex3464664b76

225022724982 has 36 divisors (see below), whose sum is σ = 535901233140. Its totient is φ = 68188703880.

The previous prime is 225022724963. The next prime is 225022724987. The reversal of 225022724982 is 289427220522.

225022724982 is a `hidden beast` number, since 2 + 2 + 502 + 27 + 2 + 49 + 82 = 666.

225022724982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225022724987) 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 17 ways as a sum of consecutive naturals, for example, 51655932 + ... + 51660287.

It is an arithmetic number, because the mean of its divisors is an integer number (14886145365).

Almost surely, 2225022724982 is an apocalyptic number.

225022724982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225022724982 is an abundant number, since it is smaller than the sum of its proper divisors (310878508158).

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

225022724982 is a wasteful number, since it uses less digits than its factorization.

225022724982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103316249 (or 103316235 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 225022724982 in words is "two hundred twenty-five billion, twenty-two million, seven hundred twenty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 103316219 206632438 309948657 619897314 929845971 1136478409 1859691942 2272956818 3409435227 6818870454 10228305681 12501262499 20456611362 25002524998 37503787497 75007574994 112511362491 225022724982