Search a number
-
+
22931640 = 23335171249
BaseRepresentation
bin101011101111…
…0100010111000
31121011001022000
41113132202320
521332303030
62135301000
7365626044
oct127364270
947131260
1022931640
1111a42976
12781a760
13499b924
14308d024
15202e860
hex15de8b8

22931640 has 128 divisors (see below), whose sum is σ = 81000000. Its totient is φ = 5750784.

The previous prime is 22931639. The next prime is 22931641. The reversal of 22931640 is 4613922.

It is an interprime number because it is at equal distance from previous prime (22931639) and next prime (22931641).

It is a super-2 number, since 2×229316402 = 1051720226179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22931641) 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, 17736 + ... + 18984.

Almost surely, 222931640 is an apocalyptic number.

22931640 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 22931640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40500000).

22931640 is an abundant number, since it is smaller than the sum of its proper divisors (58068360).

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

22931640 is a wasteful number, since it uses less digits than its factorization.

22931640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22931640 is about 4788.6991970680. The cubic root of 22931640 is about 284.1046694794.

The spelling of 22931640 in words is "twenty-two million, nine hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1249 1530 1836 2040 2295 2498 3060 3672 3747 4590 4996 6120 6245 7494 9180 9992 11241 12490 14988 18360 18735 21233 22482 24980 29976 33723 37470 42466 44964 49960 56205 63699 67446 74940 84932 89928 106165 112410 127398 134892 149880 168615 169864 191097 212330 224820 254796 269784 318495 337230 382194 424660 449640 509592 573291 636990 674460 764388 849320 955485 1146582 1273980 1348920 1528776 1910970 2293164 2547960 2866455 3821940 4586328 5732910 7643880 11465820 22931640