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22997260 = 225112131743
BaseRepresentation
bin101011110111…
…0100100001100
31121021101022101
41113232210030
521341403020
62140524444
7366321256
oct127564414
947241271
1022997260
1111a88200
127850724
1349c2760
1430a8cd6
15204400a
hex15ee90c

22997260 has 144 divisors (see below), whose sum is σ = 61937568. Its totient is φ = 7096320.

The previous prime is 22997251. The next prime is 22997279. The reversal of 22997260 is 6279922.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534799 + ... + 534841.

It is an arithmetic number, because the mean of its divisors is an integer number (430122).

Almost surely, 222997260 is an apocalyptic number.

22997260 is a gapful number since it is divisible by the number (20) 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 22997260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30968784).

22997260 is an abundant number, since it is smaller than the sum of its proper divisors (38940308).

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

22997260 is a wasteful number, since it uses less digits than its factorization.

22997260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 22997260 is about 4795.5458500571. The cubic root of 22997260 is about 284.3754044997.

It can be divided in two parts, 229972 and 60, that added together give a palindrome (230032).

The spelling of 22997260 in words is "twenty-two million, nine hundred ninety-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 43 44 52 55 65 68 85 86 110 121 130 143 170 172 187 215 220 221 242 260 286 340 374 430 442 473 484 559 572 605 715 731 748 860 884 935 946 1105 1118 1210 1430 1462 1573 1870 1892 2057 2210 2236 2365 2420 2431 2795 2860 2924 3146 3655 3740 4114 4420 4730 4862 5203 5590 6149 6292 7310 7865 8041 8228 9460 9503 9724 10285 10406 11180 12155 12298 14620 15730 16082 19006 20570 20812 24310 24596 26015 26741 30745 31460 32164 38012 40205 41140 47515 48620 52030 53482 61490 67639 80410 88451 95030 104060 104533 106964 122980 133705 135278 160820 176902 190060 209066 267410 270556 338195 353804 418132 442255 522665 534820 676390 884510 1045330 1149863 1352780 1769020 2090660 2299726 4599452 5749315 11498630 22997260