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10145255224 = 23132431091601
BaseRepresentation
bin10010111001011010…
…00100111100111000
3222012001002100211111
421130231010330320
5131234141131344
64354412010104
7506260150366
oct113455047470
928161070744
1010145255224
114336806455
121b71760934
13c58b17800
146c3574636
153e5a01834
hex25cb44f38

10145255224 has 96 divisors (see below), whose sum is σ = 21283851600. Its totient is φ = 4528742400.

The previous prime is 10145255179. The next prime is 10145255231. The reversal of 10145255224 is 42255254101.

10145255224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 6336024 + ... + 6337624.

Almost surely, 210145255224 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 10145255224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641925800).

10145255224 is an abundant number, since it is smaller than the sum of its proper divisors (11138596376).

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

10145255224 is a wasteful number, since it uses less digits than its factorization.

10145255224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 10145255224 in words is "ten billion, one hundred forty-five million, two hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 109 169 172 218 338 344 436 559 676 872 1118 1352 1417 1601 2236 2834 3202 4472 4687 5668 6404 7267 9374 11336 12808 14534 18421 18748 20813 29068 36842 37496 41626 58136 60931 68843 73684 83252 121862 137686 147368 166504 174509 243724 270569 275372 349018 487448 541138 550744 698036 792103 894959 1082276 1396072 1584206 1789918 2164552 2268617 3168412 3579836 4537234 6336824 7159672 7503887 9074468 11634467 15007774 18148936 23268934 29492021 30015548 46537868 58984042 60031096 93075736 97550531 117968084 195101062 235936168 390202124 780404248 1268156903 2536313806 5072627612 10145255224