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23228304 = 24311293741
BaseRepresentation
bin101100010011…
…0111110010000
31121201010020120
41120212332100
521421301204
62145510240
7401303001
oct130467620
947633216
1023228304
1112125850
127942380
134a73978
1431291a8
15208c6d9
hex1626f90

23228304 has 160 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 6451200.

The previous prime is 23228281. The next prime is 23228311. The reversal of 23228304 is 40382232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566524 + ... + 566564.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 223228304 is an apocalyptic number.

23228304 is a gapful number since it is divisible by the number (24) 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 23228304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

23228304 is an abundant number, since it is smaller than the sum of its proper divisors (48017136).

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

23228304 is a wasteful number, since it uses less digits than its factorization.

23228304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23228304 is about 4819.5750850049. The cubic root of 23228304 is about 285.3245671359.

It can be divided in two parts, 23228 and 304, that added together give a palindrome (23532).

The spelling of 23228304 in words is "twenty-three million, two hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 37 41 44 48 58 66 74 82 87 88 111 116 123 132 148 164 174 176 222 232 246 264 296 319 328 348 407 444 451 464 492 528 592 638 656 696 814 888 902 957 984 1073 1189 1221 1276 1353 1392 1517 1628 1776 1804 1914 1968 2146 2378 2442 2552 2706 3034 3219 3256 3567 3608 3828 4292 4551 4756 4884 5104 5412 6068 6438 6512 7134 7216 7656 8584 9102 9512 9768 10824 11803 12136 12876 13079 14268 15312 16687 17168 18204 19024 19536 21648 23606 24272 25752 26158 28536 33374 35409 36408 39237 43993 47212 50061 51504 52316 57072 66748 70818 72816 78474 87986 94424 100122 104632 131979 133496 141636 156948 175972 188848 200244 209264 263958 266992 283272 313896 351944 400488 483923 527916 566544 627792 703888 800976 967846 1055832 1451769 1935692 2111664 2903538 3871384 5807076 7742768 11614152 23228304