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10221502144 = 267171342109
BaseRepresentation
bin10011000010011111…
…11011111011000000
3222101100120002221111
421201033323323000
5131413201032034
64410134133104
7511204222540
oct114117737300
928340502844
1010221502144
114375853937
121b931b1194
13c6b862829
146cd741320
153ec563364
hex2613fbec0

10221502144 has 56 divisors (see below), whose sum is σ = 24544507680. Its totient is φ = 4122955776.

The previous prime is 10221502133. The next prime is 10221502157. The reversal of 10221502144 is 44120512201.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663439 + ... + 678670.

It is an arithmetic number, because the mean of its divisors is an integer number (438294780).

Almost surely, 210221502144 is an apocalyptic number.

10221502144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221502144 is an abundant number, since it is smaller than the sum of its proper divisors (14323005536).

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

10221502144 is a wasteful number, since it uses less digits than its factorization.

10221502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342145 (or 1342135 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The spelling of 10221502144 in words is "ten billion, two hundred twenty-one million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 1342109 2684218 5368436 9394763 10736872 18789526 21473744 22815853 37579052 42947488 45631706 75158104 85894976 91263412 150316208 159710971 182526824 300632416 319421942 365053648 601264832 638843884 730107296 1277687768 1460214592 2555375536 5110751072 10221502144