[go: up one dir, main page]

Search a number
-
+
22810752 = 273219801
BaseRepresentation
bin101011100000…
…1000010000000
31120220220110200
41113001002000
521314421002
62132525200
7364613436
oct127010200
946826420
1022810752
1111970068
127780800
1349588b3
14305ad56
152008b1c
hex15c1080

22810752 has 48 divisors (see below), whose sum is σ = 65643630. Its totient is φ = 7603200.

The previous prime is 22810751. The next prime is 22810763. The reversal of 22810752 is 25701822.

It can be written as a sum of positive squares in only one way, i.e., 22810176 + 576 = 4776^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (22810751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8749 + ... + 11052.

Almost surely, 222810752 is an apocalyptic number.

It is an amenable number.

22810752 is an abundant number, since it is smaller than the sum of its proper divisors (42832878).

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

22810752 is a wasteful number, since it uses less digits than its factorization.

22810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821 (or 19806 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 22810752 is about 4776.0603011269. The cubic root of 22810752 is about 283.6045544389.

The spelling of 22810752 in words is "twenty-two million, eight hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19801 39602 59403 79204 118806 158408 178209 237612 316816 356418 475224 633632 712836 950448 1267264 1425672 1900896 2534528 2851344 3801792 5702688 7603584 11405376 22810752