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22252048 = 24713172931
BaseRepresentation
bin101010011100…
…0101000010000
31112212112001221
41110320220100
521144031143
62112534424
7360065530
oct124705020
945775057
1022252048
1111619325
127551414
1347c14c0
142d534c0
151e482ed
hex1538a10

22252048 has 160 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 7741440.

The previous prime is 22252037. The next prime is 22252049. The reversal of 22252048 is 84025222.

It is not an unprimeable number, because it can be changed into a prime (22252049) 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, 717793 + ... + 717823.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 222252048 is an apocalyptic number.

22252048 is a gapful number since it is divisible by the number (28) 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 22252048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

22252048 is an abundant number, since it is smaller than the sum of its proper divisors (37744112).

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

22252048 is a wasteful number, since it uses less digits than its factorization.

22252048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 22252048 is about 4717.2076485989. The cubic root of 22252048 is about 281.2699457130.

The spelling of 22252048 in words is "twenty-two million, two hundred fifty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 29 31 34 52 56 58 62 68 91 104 112 116 119 124 136 182 203 208 217 221 232 238 248 272 364 377 403 406 434 442 464 476 493 496 527 728 754 806 812 868 884 899 952 986 1054 1456 1508 1547 1612 1624 1736 1768 1798 1904 1972 2108 2639 2821 3016 3094 3224 3248 3451 3472 3536 3596 3689 3944 4216 5278 5642 6032 6188 6293 6409 6448 6851 6902 7192 7378 7888 8432 10556 11284 11687 12376 12586 12818 13702 13804 14384 14756 15283 21112 22568 23374 24752 25172 25636 27404 27608 29512 30566 42224 44863 45136 46748 47957 50344 51272 54808 55216 59024 61132 81809 89726 93496 95914 100688 102544 106981 109616 122264 163618 179452 186992 191828 198679 213962 244528 327236 358904 383656 397358 427924 654472 717808 767312 794716 855848 1308944 1390753 1589432 1711696 2781506 3178864 5563012 11126024 22252048