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10225529640 = 233359468083
BaseRepresentation
bin10011000010111110…
…10011001100101000
3222101122010201122000
421201133103030220
5131420213422030
64410400331000
7511253365524
oct114137231450
928348121560
1010225529640
114378054847
121b94613a60
13c6c642a71
146d00acd84
153ecaab860
hex2617d3328

10225529640 has 64 divisors (see below), whose sum is σ = 34085102400. Its totient is φ = 2726807616.

The previous prime is 10225529623. The next prime is 10225529641. The reversal of 10225529640 is 4692552201.

10225529640 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 5 + 2 + 9 + 640 = 666.

It is a super-2 number, since 2×102255296402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10225529595 and 10225529604.

It is not an unprimeable number, because it can be changed into a prime (10225529641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4732962 + ... + 4735121.

It is an arithmetic number, because the mean of its divisors is an integer number (532579725).

Almost surely, 210225529640 is an apocalyptic number.

10225529640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225529640 is an abundant number, since it is smaller than the sum of its proper divisors (23859572760).

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

10225529640 is a wasteful number, since it uses less digits than its factorization.

10225529640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468103 (or 9468093 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10225529640 in words is "ten billion, two hundred twenty-five million, five hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 9468083 18936166 28404249 37872332 47340415 56808498 75744664 85212747 94680830 113616996 142021245 170425494 189361660 227233992 255638241 284042490 340850988 378723320 426063735 511276482 568084980 681701976 852127470 1022552964 1136169960 1278191205 1704254940 2045105928 2556382410 3408509880 5112764820 10225529640