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23224040 = 2357217241
BaseRepresentation
bin101100010010…
…1111011101000
31121200220101122
41120211323220
521421132130
62145434412
7401254400
oct130457350
947626348
1023224040
1112122624
12793ba08
134a71a48
143127800
15208b2e5
hex1625ee8

23224040 has 144 divisors (see below), whose sum is σ = 66146220. Its totient is φ = 7311360.

The previous prime is 23224037. The next prime is 23224079. The reversal of 23224040 is 4042232.

It can be written as a sum of positive squares in 6 ways, for example, as 10278436 + 12945604 = 3206^2 + 3598^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 566420 + ... + 566460.

Almost surely, 223224040 is an apocalyptic number.

23224040 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 23224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33073110).

23224040 is an abundant number, since it is smaller than the sum of its proper divisors (42922180).

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

23224040 is a wasteful number, since it uses less digits than its factorization.

23224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 23224040 is about 4819.1327020533. The cubic root of 23224040 is about 285.3071071381.

Adding to 23224040 its reverse (4042232), we get a palindrome (27266272).

The spelling of 23224040 in words is "twenty-three million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 41 49 56 68 70 82 85 98 119 136 140 164 170 196 205 238 245 280 287 289 328 340 392 410 476 490 574 578 595 680 697 820 833 952 980 1148 1156 1190 1394 1435 1445 1640 1666 1960 2009 2023 2296 2312 2380 2788 2870 2890 3332 3485 4018 4046 4165 4760 4879 5576 5740 5780 6664 6970 8036 8092 8330 9758 10045 10115 11480 11560 11849 13940 14161 16072 16184 16660 19516 20090 20230 23698 24395 27880 28322 33320 34153 39032 40180 40460 47396 48790 56644 59245 68306 70805 80360 80920 82943 94792 97580 113288 118490 136612 141610 165886 170765 195160 236980 273224 283220 331772 341530 414715 473960 566440 580601 663544 683060 829430 1161202 1366120 1658860 2322404 2903005 3317720 4644808 5806010 11612020 23224040