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10225253240 = 2356737910067
BaseRepresentation
bin10011000010111100…
…01111101101111000
3222101121121200110222
421201132033231320
5131420131100430
64410350355212
7511251134636
oct114136175570
928347550428
1010225253240
114377986114
121b944bbb08
13c6c577007
146d003a356
153eca549e5
hex26178fb78

10225253240 has 64 divisors (see below), whose sum is σ = 23414140800. Its totient is φ = 4018025088.

The previous prime is 10225253239. The next prime is 10225253257. The reversal of 10225253240 is 4235252201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010687 + ... + 1020753.

It is an arithmetic number, because the mean of its divisors is an integer number (365845950).

Almost surely, 210225253240 is an apocalyptic number.

10225253240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11707070400).

10225253240 is an abundant number, since it is smaller than the sum of its proper divisors (13188887560).

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

10225253240 is a wasteful number, since it uses less digits than its factorization.

10225253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 10225253240 in words is "ten billion, two hundred twenty-five million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 379 536 670 758 1340 1516 1895 2680 3032 3790 7580 10067 15160 20134 25393 40268 50335 50786 80536 100670 101572 126965 201340 203144 253930 402680 507860 674489 1015720 1348978 2697956 3372445 3815393 5395912 6744890 7630786 13489780 15261572 19076965 26979560 30523144 38153930 76307860 152615720 255631331 511262662 1022525324 1278156655 2045050648 2556313310 5112626620 10225253240