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23244320 = 2551147281
BaseRepresentation
bin101100010101…
…0111000100000
31121201221012202
41120222320200
521422304240
62150112332
7401400461
oct130527040
947657182
1023244320
1112136890
12794b6a8
134a7b048
143130d68
152092315
hex162ae20

23244320 has 96 divisors (see below), whose sum is σ = 61399296. Its totient is φ = 8243200.

The previous prime is 23244317. The next prime is 23244323. The reversal of 23244320 is 2344232.

23244320 = 2482 + 2492 + ... + 4392.

It is an interprime number because it is at equal distance from previous prime (23244317) and next prime (23244323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23244292 and 23244301.

It is not an unprimeable number, because it can be changed into a prime (23244323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82580 + ... + 82860.

It is an arithmetic number, because the mean of its divisors is an integer number (639576).

Almost surely, 223244320 is an apocalyptic number.

23244320 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 23244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30699648).

23244320 is an abundant number, since it is smaller than the sum of its proper divisors (38154976).

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

23244320 is a wasteful number, since it uses less digits than its factorization.

23244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 23244320 is about 4821.2363559568. The cubic root of 23244320 is about 285.3901295116.

Adding to 23244320 its reverse (2344232), we get a palindrome (25588552).

The spelling of 23244320 in words is "twenty-three million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 176 188 220 235 281 352 376 440 470 517 562 752 880 940 1034 1124 1405 1504 1760 1880 2068 2248 2585 2810 3091 3760 4136 4496 5170 5620 6182 7520 8272 8992 10340 11240 12364 13207 15455 16544 20680 22480 24728 26414 30910 41360 44960 49456 52828 61820 66035 82720 98912 105656 123640 132070 145277 211312 247280 264140 290554 422624 494560 528280 581108 726385 1056560 1162216 1452770 2113120 2324432 2905540 4648864 5811080 11622160 23244320