Search a number
-
+
22931460 = 223252329191
BaseRepresentation
bin101011101111…
…0100000000100
31121011001001100
41113132200010
521332301320
62135300100
7365625366
oct127364004
947131040
1022931460
1111a42822
12781a630
13499b816
14308cd36
15202e790
hex15de804

22931460 has 144 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 5617920.

The previous prime is 22931399. The next prime is 22931507. The reversal of 22931460 is 6413922.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119965 + ... + 120155.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 222931460 is an apocalyptic number.

22931460 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 22931460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

22931460 is an abundant number, since it is smaller than the sum of its proper divisors (52547580).

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

22931460 is a wasteful number, since it uses less digits than its factorization.

22931460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

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

The square root of 22931460 is about 4788.6804027832. The cubic root of 22931460 is about 284.1039261255.

The spelling of 22931460 in words is "twenty-two million, nine hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 29 30 36 45 46 58 60 69 87 90 92 115 116 138 145 174 180 191 207 230 261 276 290 345 348 382 414 435 460 522 573 580 667 690 764 828 870 955 1035 1044 1146 1305 1334 1380 1719 1740 1910 2001 2070 2292 2610 2668 2865 3335 3438 3820 4002 4140 4393 5220 5539 5730 6003 6670 6876 8004 8595 8786 10005 11078 11460 12006 13179 13340 16617 17190 17572 20010 21965 22156 24012 26358 27695 30015 33234 34380 39537 40020 43930 49851 52716 55390 60030 65895 66468 79074 83085 87860 99702 110780 120060 127397 131790 158148 166170 197685 199404 249255 254794 263580 332340 382191 395370 498510 509588 636985 764382 790740 997020 1146573 1273970 1528764 1910955 2293146 2547940 3821910 4586292 5732865 7643820 11465730 22931460