Search a number
-
+
22949568 = 263419233
BaseRepresentation
bin101011110001…
…0111011000000
31121011221220000
41113202323000
521333341233
62135520000
7366032235
oct127427300
947157800
1022949568
1111a55394
127829000
1349a6b35
14309578c
152034d13
hex15e2ec0

22949568 has 140 divisors (see below), whose sum is σ = 71917560. Its totient is φ = 7216128.

The previous prime is 22949557. The next prime is 22949581. The reversal of 22949568 is 86594922.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98380 + ... + 98612.

Almost surely, 222949568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35958780).

22949568 is an abundant number, since it is smaller than the sum of its proper divisors (48967992).

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

22949568 is a wasteful number, since it uses less digits than its factorization.

22949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 22949568 is about 4790.5707384403. The cubic root of 22949568 is about 284.1786880514.

The spelling of 22949568 in words is "twenty-two million, nine hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 233 288 304 324 342 432 456 466 513 576 608 648 684 699 864 912 932 1026 1216 1296 1368 1398 1539 1728 1824 1864 2052 2097 2592 2736 2796 3078 3648 3728 4104 4194 4427 5184 5472 5592 6156 6291 7456 8208 8388 8854 10944 11184 12312 12582 13281 14912 16416 16776 17708 18873 22368 24624 25164 26562 32832 33552 35416 37746 39843 44736 49248 50328 53124 67104 70832 75492 79686 98496 100656 106248 119529 134208 141664 150984 159372 201312 212496 239058 283328 301968 318744 358587 402624 424992 478116 603936 637488 717174 849984 956232 1207872 1274976 1434348 1912464 2549952 2868696 3824928 5737392 7649856 11474784 22949568