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22970112 = 283112719
BaseRepresentation
bin101011110011…
…1111100000000
31121020000001220
41113213330000
521340020422
62140155040
7366146154
oct127477400
947200056
1022970112
1111a69870
127838a80
1349b32a9
14309d064
15203ae5c
hex15e7f00

22970112 has 72 divisors (see below), whose sum is σ = 66716160. Its totient is φ = 6958080.

The previous prime is 22970071. The next prime is 22970113. The reversal of 22970112 is 21107922.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22970113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7089 + ... + 9807.

Almost surely, 222970112 is an apocalyptic number.

22970112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33358080).

22970112 is an abundant number, since it is smaller than the sum of its proper divisors (43746048).

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

22970112 is a wasteful number, since it uses less digits than its factorization.

22970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 22970112 is about 4792.7144709444. The cubic root of 22970112 is about 284.2634598107.

The spelling of 22970112 in words is "twenty-two million, nine hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2719 2816 4224 5438 8157 8448 10876 16314 21752 29909 32628 43504 59818 65256 87008 89727 119636 130512 174016 179454 239272 261024 348032 358908 478544 522048 696064 717816 957088 1044096 1435632 1914176 2088192 2871264 3828352 5742528 7656704 11485056 22970112