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22290112 = 261373367
BaseRepresentation
bin101010100000…
…1111011000000
31112221110021201
41111001323000
521201240422
62113430544
7360314515
oct125017300
945843251
1022290112
1111644989
12756b454
134805920
142d6330c
151e54727
hex1541ec0

22290112 has 56 divisors (see below), whose sum is σ = 48418496. Its totient is φ = 10119168.

The previous prime is 22290109. The next prime is 22290119. The reversal of 22290112 is 21109222.

It is a self number, because there is not a number n which added to its sum of digits gives 22290112.

It is not an unprimeable number, because it can be changed into a prime (22290119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60553 + ... + 60919.

It is an arithmetic number, because the mean of its divisors is an integer number (864616).

Almost surely, 222290112 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 22290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209248).

22290112 is an abundant number, since it is smaller than the sum of its proper divisors (26128384).

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

22290112 is a wasteful number, since it uses less digits than its factorization.

22290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 22290112 is about 4721.2405149494. The cubic root of 22290112 is about 281.4302329872.

Adding to 22290112 its reverse (21109222), we get a palindrome (43399334).

The spelling of 22290112 in words is "twenty-two million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 367 416 584 734 832 949 1168 1468 1898 2336 2936 3796 4672 4771 5872 7592 9542 11744 15184 19084 23488 26791 30368 38168 53582 60736 76336 107164 152672 214328 305344 348283 428656 696566 857312 1393132 1714624 2786264 5572528 11145056 22290112