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10228726152 = 23321923325093
BaseRepresentation
bin10011000011010110…
…11111100110001000
3222101212011010102100
421201223133212020
5131422023214102
64410553033400
7511322511021
oct114153374610
928355133370
1010228726152
114379938397
121b956b5860
13c701c19a8
146d06a1c48
153ecedda1c
hex261adf988

10228726152 has 96 divisors (see below), whose sum is σ = 30428798400. Its totient is φ = 3089674368.

The previous prime is 10228726139. The next prime is 10228726273. The reversal of 10228726152 is 25162782201.

It is a happy number.

10228726152 is a `hidden beast` number, since 10 + 2 + 28 + 7 + 2 + 615 + 2 = 666.

10228726152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 131083 + ... + 194010.

It is an arithmetic number, because the mean of its divisors is an integer number (316966650).

Almost surely, 210228726152 is an apocalyptic number.

10228726152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10228726152 is an abundant number, since it is smaller than the sum of its proper divisors (20200072248).

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

10228726152 is a wasteful number, since it uses less digits than its factorization.

10228726152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325147 (or 325140 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10228726152 in words is "ten billion, two hundred twenty-eight million, seven hundred twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1311 1368 1656 1748 2622 3496 3933 5244 7866 10488 15732 31464 325093 650186 975279 1300372 1950558 2600744 2925837 3901116 5851674 6176767 7477139 7802232 11703348 12353534 14954278 18530301 22431417 23406696 24707068 29908556 37060602 44862834 49414136 55590903 59817112 67294251 74121204 89725668 111181806 134588502 142065641 148242408 179451336 222363612 269177004 284131282 426196923 444727224 538354008 568262564 852393846 1136525128 1278590769 1704787692 2557181538 3409575384 5114363076 10228726152