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225766477340 = 22517719352381
BaseRepresentation
bin1101001001000010111…
…0110000111000011100
3210120202001110100112222
43102100232300320130
512144332204233330
6251414331044512
722211463252125
oct3222056607034
9716661410488
10225766477340
1187824321a78
12379088a0738
131839c59c081
14acda18904c
155d1559b0e5
hex3490bb0e1c

225766477340 has 48 divisors (see below), whose sum is σ = 509068857024. Its totient is φ = 83797324800.

The previous prime is 225766477303. The next prime is 225766477367. The reversal of 225766477340 is 43774667522.

It is a happy number.

225766477340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4652051 + ... + 4700330.

It is an arithmetic number, because the mean of its divisors is an integer number (10605601188).

Almost surely, 2225766477340 is an apocalyptic number.

225766477340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225766477340 is an abundant number, since it is smaller than the sum of its proper divisors (283302379684).

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

225766477340 is a wasteful number, since it uses less digits than its factorization.

225766477340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9352478 (or 9352476 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 53.

The spelling of 225766477340 in words is "two hundred twenty-five billion, seven hundred sixty-six million, four hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 12070 24140 9352381 18704762 37409524 46761905 93523810 158990477 187047620 317980954 635961908 664019051 794952385 1328038102 1589904770 2656076204 3179809540 3320095255 6640190510 11288323867 13280381020 22576647734 45153295468 56441619335 112883238670 225766477340