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10225160 = 23511171367
BaseRepresentation
bin100111000000…
…011000001000
3201020111021122
4213000120020
510104201120
61003054412
7152624651
oct47003010
921214248
1010225160
115854350
123511408
1321701ba
141502528
15d6ea25
hex9c0608

10225160 has 64 divisors (see below), whose sum is σ = 26593920. Its totient is φ = 3496960.

The previous prime is 10225147. The next prime is 10225169. The reversal of 10225160 is 6152201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10225169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6797 + ... + 8163.

It is an arithmetic number, because the mean of its divisors is an integer number (415530).

Almost surely, 210225160 is an apocalyptic number.

10225160 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 10225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296960).

10225160 is an abundant number, since it is smaller than the sum of its proper divisors (16368760).

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

10225160 is a wasteful number, since it uses less digits than its factorization.

10225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10225160 is about 3197.6804092967. The cubic root of 10225160 is about 217.0484576811.

Adding to 10225160 its reverse (6152201), we get a palindrome (16377361).

The spelling of 10225160 in words is "ten million, two hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1367 1496 1870 2734 3740 5468 6835 7480 10936 13670 15037 23239 27340 30074 46478 54680 60148 75185 92956 116195 120296 150370 185912 232390 255629 300740 464780 511258 601480 929560 1022516 1278145 2045032 2556290 5112580 10225160