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23244080 = 2452943233
BaseRepresentation
bin101100010101…
…0110100110000
31121201220212212
41120222310300
521422302310
62150111252
7401366666
oct130526460
947656785
1023244080
1112136692
12794b528
134a7abc2
143130c36
152092205
hex162ad30

23244080 has 80 divisors (see below), whose sum is σ = 57451680. Its totient is φ = 8730624.

The previous prime is 23244073. The next prime is 23244097. The reversal of 23244080 is 8044232.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 99644 + ... + 99876.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 223244080 is an apocalyptic number.

23244080 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 23244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725840).

23244080 is an abundant number, since it is smaller than the sum of its proper divisors (34207600).

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

23244080 is a wasteful number, since it uses less digits than its factorization.

23244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 23244080 is about 4821.2114660114. The cubic root of 23244080 is about 285.3891472807.

The spelling of 23244080 in words is "twenty-three million, two hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 233 290 344 430 464 466 580 688 860 932 1160 1165 1247 1720 1864 2320 2330 2494 3440 3728 4660 4988 6235 6757 9320 9976 10019 12470 13514 18640 19952 20038 24940 27028 33785 40076 49880 50095 54056 67570 80152 99760 100190 108112 135140 160304 200380 270280 290551 400760 540560 581102 801520 1162204 1452755 2324408 2905510 4648816 5811020 11622040 23244080