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10228608 = 273213683
BaseRepresentation
bin100111000001…
…001110000000
3201020200000100
4213001032000
510104303413
61003122400
7152641005
oct47011600
921220010
1010228608
1158569a5
123513400
132171940
1415038ac
15d70a73
hex9c1380

10228608 has 96 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 3142656.

The previous prime is 10228607. The next prime is 10228609. The reversal of 10228608 is 80682201.

It is an interprime number because it is at equal distance from previous prime (10228607) and next prime (10228609).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14635 + ... + 15317.

Almost surely, 210228608 is an apocalyptic number.

10228608 is a gapful number since it is divisible by the number (18) 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 10228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

10228608 is an abundant number, since it is smaller than the sum of its proper divisors (21515832).

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

10228608 is a wasteful number, since it uses less digits than its factorization.

10228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10228608 is about 3198.2195046619. The cubic root of 10228608 is about 217.0728517241.

The spelling of 10228608 in words is "ten million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 683 832 936 1152 1248 1366 1664 1872 2049 2496 2732 3744 4098 4992 5464 6147 7488 8196 8879 10928 12294 14976 16392 17758 21856 24588 26637 32784 35516 43712 49176 53274 65568 71032 79911 87424 98352 106548 131136 142064 159822 196704 213096 262272 284128 319644 393408 426192 568256 639288 786816 852384 1136512 1278576 1704768 2557152 3409536 5114304 10228608