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225653221540 = 225611271456391
BaseRepresentation
bin1101001000100111111…
…0101110100010100100
3210120110011100100210201
43102021332232202210
512144114211042130
6251355203400244
722205616510235
oct3221176564244
9716404310721
10225653221540
11877763a723a
1237896983084
1318381c96ac6
14acc910708c
155d0a678bca
hex3489fae8a4

225653221540 has 48 divisors (see below), whose sum is σ = 485432930304. Its totient is φ = 88082467200.

The previous prime is 225653221523. The next prime is 225653221543. The reversal of 225653221540 is 45122356522.

225653221540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225653221540.

It is not an unprimeable number, because it can be changed into a prime (225653221543) 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, 573256 + ... + 883135.

It is an arithmetic number, because the mean of its divisors is an integer number (10113186048).

Almost surely, 2225653221540 is an apocalyptic number.

225653221540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225653221540 is an abundant number, since it is smaller than the sum of its proper divisors (259779708764).

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

225653221540 is a wasteful number, since it uses less digits than its factorization.

225653221540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456588 (or 1456586 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 225653221540 in words is "two hundred twenty-five billion, six hundred fifty-three million, two hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 61 122 127 244 254 305 508 610 635 1220 1270 2540 7747 15494 30988 38735 77470 154940 1456391 2912782 5825564 7281955 14563910 29127820 88839851 177679702 184961657 355359404 369923314 444199255 739846628 888398510 924808285 1776797020 1849616570 3699233140 11282661077 22565322154 45130644308 56413305385 112826610770 225653221540