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10228152 = 23311174353
BaseRepresentation
bin100111000001…
…000110111000
3201020122101110
4213001012320
510104300102
61003120320
7152636454
oct47010670
921218343
1010228152
115856620
1235130a0
13217167c
141503664
15d7086c
hex9c11b8

10228152 has 128 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 2795520.

The previous prime is 10228151. The next prime is 10228157. The reversal of 10228152 is 25182201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192958 + ... + 193010.

It is an arithmetic number, because the mean of its divisors is an integer number (240570).

Almost surely, 210228152 is an apocalyptic number.

10228152 is a gapful number since it is divisible by the number (12) 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 10228152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396480).

10228152 is an abundant number, since it is smaller than the sum of its proper divisors (20564808).

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

10228152 is a wasteful number, since it uses less digits than its factorization.

10228152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10228152 is about 3198.1482142015. The cubic root of 10228152 is about 217.0696259124.

The spelling of 10228152 in words is "ten million, two hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 43 44 51 53 66 68 86 88 102 106 129 132 136 159 172 187 204 212 258 264 318 344 374 408 424 473 516 561 583 636 731 748 901 946 1032 1122 1166 1272 1419 1462 1496 1749 1802 1892 2193 2244 2279 2332 2703 2838 2924 3498 3604 3784 4386 4488 4558 4664 5406 5676 5848 6837 6996 7208 8041 8772 9116 9911 10812 11352 13674 13992 16082 17544 18232 19822 21624 24123 25069 27348 29733 32164 38743 39644 48246 50138 54696 59466 64328 75207 77486 79288 96492 100276 116229 118932 150414 154972 192984 200552 232458 237864 300828 309944 426173 464916 601656 852346 929832 1278519 1704692 2557038 3409384 5114076 10228152