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22330112 = 28717733
BaseRepresentation
bin101010100101…
…1101100000000
31120000111011012
41111023230000
521204030422
62114340052
7360542240
oct125135400
946014135
1022330112
1111671a42
12758a628
13481abac
142d73b20
151e614e2
hex154bb00

22330112 has 72 divisors (see below), whose sum is σ = 54010656. Its totient is φ = 8994816.

The previous prime is 22330109. The next prime is 22330141. The reversal of 22330112 is 21103322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 30098 + ... + 30830.

It is an arithmetic number, because the mean of its divisors is an integer number (750148).

Almost surely, 222330112 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 22330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005328).

22330112 is an abundant number, since it is smaller than the sum of its proper divisors (31680544).

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

22330112 is an equidigital number, since it uses as much as digits as its factorization.

22330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 22330112 is about 4725.4747909602. The cubic root of 22330112 is about 281.5984762314.

Adding to 22330112 its reverse (21103322), we get a palindrome (43433434).

The spelling of 22330112 in words is "twenty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 733 896 952 1088 1466 1792 1904 2176 2932 3808 4352 5131 5864 7616 10262 11728 12461 15232 20524 23456 24922 30464 41048 46912 49844 82096 87227 93824 99688 164192 174454 187648 199376 328384 348908 398752 656768 697816 797504 1313536 1395632 1595008 2791264 3190016 5582528 11165056 22330112