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22913928 = 23363929
BaseRepresentation
bin101011101101…
…0001110001000
31121010011000000
41113122032020
521331221203
62135043000
7365523312
oct127321610
947104000
1022913928
1111a30634
127810460
13499384b
1430867b2
1520294a3
hex15da388

22913928 has 56 divisors (see below), whose sum is σ = 64432350. Its totient is φ = 7636032.

The previous prime is 22913921. The next prime is 22913939. The reversal of 22913928 is 82931922.

It can be written as a sum of positive squares in only one way, i.e., 22071204 + 842724 = 4698^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22913892 and 22913901.

It is not an unprimeable number, because it can be changed into a prime (22913921) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3868 + ... + 7796.

Almost surely, 222913928 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 22913928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32216175).

22913928 is an abundant number, since it is smaller than the sum of its proper divisors (41518422).

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

22913928 is an equidigital number, since it uses as much as digits as its factorization.

22913928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3934 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 22913928 is about 4786.8494858309. The cubic root of 22913928 is about 284.0315048036.

The spelling of 22913928 in words is "twenty-two million, nine hundred thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 3929 5832 7858 11787 15716 23574 31432 35361 47148 70722 94296 106083 141444 212166 282888 318249 424332 636498 848664 954747 1272996 1909494 2545992 2864241 3818988 5728482 7637976 11456964 22913928