Search a number
-
+
22970752 = 27731827
BaseRepresentation
bin101011110100…
…0000110000000
31121020000221121
41113220012000
521340031002
62140202024
7366151060
oct127500600
947200847
1022970752
1111a6a2a2
127839314
1349b367c
14309d3a0
15203b237
hex15e8180

22970752 has 64 divisors (see below), whose sum is σ = 54051840. Its totient is φ = 9515520.

The previous prime is 22970743. The next prime is 22970777. The reversal of 22970752 is 25707922.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27363 + ... + 28189.

It is an arithmetic number, because the mean of its divisors is an integer number (844560).

Almost surely, 222970752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025920).

22970752 is an abundant number, since it is smaller than the sum of its proper divisors (31081088).

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

22970752 is an equidigital number, since it uses as much as digits as its factorization.

22970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 22970752 is about 4792.7812384877. The cubic root of 22970752 is about 284.2660998635.

The spelling of 22970752 in words is "twenty-two million, nine hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 827 868 896 992 1654 1736 1984 3308 3472 3968 5789 6616 6944 11578 13232 13888 23156 25637 26464 27776 46312 51274 52928 92624 102548 105856 179459 185248 205096 358918 370496 410192 717836 740992 820384 1435672 1640768 2871344 3281536 5742688 11485376 22970752