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10229120 = 275111453
BaseRepresentation
bin100111000001…
…010110000000
3201020200201022
4213001112000
510104312440
61003125012
7152642336
oct47012600
921220638
1010229120
115857320
123513768
132171c45
141503b56
15d70cb5
hex9c1580

10229120 has 64 divisors (see below), whose sum is σ = 26695440. Its totient is φ = 3717120.

The previous prime is 10229119. The next prime is 10229161. The reversal of 10229120 is 2192201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 6314 + ... + 7766.

Almost surely, 210229120 is an apocalyptic number.

10229120 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 10229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347720).

10229120 is an abundant number, since it is smaller than the sum of its proper divisors (16466320).

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

10229120 is a wasteful number, since it uses less digits than its factorization.

10229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10229120 is about 3198.2995481974. The cubic root of 10229120 is about 217.0764735739.

The spelling of 10229120 in words is "ten million, two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1453 1760 2906 3520 5812 7040 7265 11624 14530 15983 23248 29060 31966 46496 58120 63932 79915 92992 116240 127864 159830 185984 232480 255728 319660 464960 511456 639320 929920 1022912 1278640 2045824 2557280 5114560 10229120