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10228810460 = 2251146494593
BaseRepresentation
bin10011000011010111…
…10100001011011100
3222101212022102001212
421201223310023130
5131422033413320
64410554523552
7511323311561
oct114153641334
928355272055
1010228810460
114379995770
121b957365b8
13c7022118b
146d06c4868
153ed0089c5
hex261af42dc

10228810460 has 24 divisors (see below), whose sum is σ = 23433275376. Its totient is φ = 3719567360.

The previous prime is 10228810399. The next prime is 10228810481. The reversal of 10228810460 is 6401882201.

It is a happy number.

10228810460 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 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 7 ways as a sum of consecutive naturals, for example, 23247077 + ... + 23247516.

It is an arithmetic number, because the mean of its divisors is an integer number (976386474).

Almost surely, 210228810460 is an apocalyptic number.

10228810460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10228810460 is an abundant number, since it is smaller than the sum of its proper divisors (13204464916).

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

10228810460 is a wasteful number, since it uses less digits than its factorization.

10228810460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46494613 (or 46494611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 10228810460 in words is "ten billion, two hundred twenty-eight million, eight hundred ten thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 46494593 92989186 185978372 232472965 464945930 511440523 929891860 1022881046 2045762092 2557202615 5114405230 10228810460