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10228580432 = 247521175291
BaseRepresentation
bin10011000011010101…
…11100000001010000
3222101211212201112022
421201222330001100
5131422004033212
64410545551012
7511321333130
oct114152740120
928354781468
1010228580432
114379848964
121b95645468
13c70170575
146d0664ac0
153eceb0772
hex261abc050

10228580432 has 40 divisors (see below), whose sum is σ = 22692601152. Its totient is φ = 4375238400.

The previous prime is 10228580431. The next prime is 10228580497. The reversal of 10228580432 is 23408582201.

It is a junction number, because it is equal to n+sod(n) for n = 10228580392 and 10228580401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228580431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29294 + ... + 145997.

Almost surely, 210228580432 is an apocalyptic number.

It is an amenable number.

10228580432 is an abundant number, since it is smaller than the sum of its proper divisors (12464020720).

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

10228580432 is a wasteful number, since it uses less digits than its factorization.

10228580432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175827 (or 175821 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 10228580432 in words is "ten billion, two hundred twenty-eight million, five hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 521 1042 2084 3647 4168 7294 8336 14588 29176 58352 175291 350582 701164 1227037 1402328 2454074 2804656 4908148 9816296 19632592 91326611 182653222 365306444 639286277 730612888 1278572554 1461225776 2557145108 5114290216 10228580432