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10228747732 = 2274144320113
BaseRepresentation
bin10011000011010111…
…00100110111010100
3222101212012020000121
421201223210313110
5131422024411412
64410553321324
7511322630650
oct114153446724
928355166017
1010228747732
114379952625
121b95706244
13c701cb768
146d06a9a60
153ecee5107
hex261ae4dd4

10228747732 has 48 divisors (see below), whose sum is σ = 21004808832. Its totient is φ = 4266961920.

The previous prime is 10228747721. The next prime is 10228747787. The reversal of 10228747732 is 23774782201.

10228747732 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 15 ways as a sum of consecutive naturals, for example, 498508 + ... + 518620.

It is an arithmetic number, because the mean of its divisors is an integer number (437600184).

Almost surely, 210228747732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10228747732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502404416).

10228747732 is an abundant number, since it is smaller than the sum of its proper divisors (10776061100).

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

10228747732 is a wasteful number, since it uses less digits than its factorization.

10228747732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20608 (or 20606 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The spelling of 10228747732 in words is "ten billion, two hundred twenty-eight million, seven hundred forty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 287 443 574 886 1148 1772 3101 6202 12404 18163 20113 36326 40226 72652 80452 127141 140791 254282 281582 508564 563164 824633 1649266 3298532 5772431 8910059 11544862 17820118 23089724 35640236 62370413 124740826 249481652 365312419 730624838 1461249676 2557186933 5114373866 10228747732