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22323968 = 28293197
BaseRepresentation
bin101010100101…
…0001100000000
31120000011201122
41111022030000
521203331333
62114251412
7360515312
oct125121400
946004648
1022323968
1111668367
127586b68
134818164
142d717b2
151e5e798
hex154a300

22323968 has 72 divisors (see below), whose sum is σ = 48074880. Its totient is φ = 10321920.

The previous prime is 22323949. The next prime is 22323979. The reversal of 22323968 is 86932322.

It is a super-3 number, since 3×223239683 (a number of 23 digits) contains 333 as substring.

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, 230096 + ... + 230192.

Almost surely, 222323968 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 22323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037440).

22323968 is an abundant number, since it is smaller than the sum of its proper divisors (25750912).

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

22323968 is an equidigital number, since it uses as much as digits as its factorization.

22323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 22323968 is about 4724.8246528310. The cubic root of 22323968 is about 281.5726471366.

It can be divided in two parts, 2232 and 3968, that multiplied together give a square (8856576 = 29762).

The spelling of 22323968 in words is "twenty-two million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 97 116 124 128 194 232 248 256 388 464 496 776 899 928 992 1552 1798 1856 1984 2813 3007 3104 3596 3712 3968 5626 6014 6208 7192 7424 7936 11252 12028 12416 14384 22504 24056 24832 28768 45008 48112 57536 87203 90016 96224 115072 174406 180032 192448 230144 348812 360064 384896 697624 720128 769792 1395248 2790496 5580992 11161984 22323968