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22054144 = 28731397
BaseRepresentation
bin101010000100…
…0010100000000
31112111110121011
41110020110000
521121213034
62104410304
7355312540
oct124102400
945443534
1022054144
11114a3672
127476994
1347523b8
142d01320
151e09864
hex1508500

22054144 has 72 divisors (see below), whose sum is σ = 52064768. Its totient is φ = 9123840.

The previous prime is 22054133. The next prime is 22054147. The reversal of 22054144 is 44145022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22054147) 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, 55354 + ... + 55750.

Almost surely, 222054144 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 22054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26032384).

22054144 is an abundant number, since it is smaller than the sum of its proper divisors (30010624).

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

22054144 is an equidigital number, since it uses as much as digits as its factorization.

22054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 22054144 is about 4696.1839827673. The cubic root of 22054144 is about 280.4336138641.

Adding to 22054144 its reverse (44145022), we get a palindrome (66199166).

The spelling of 22054144 in words is "twenty-two million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 397 434 448 496 794 868 896 992 1588 1736 1792 1984 2779 3176 3472 3968 5558 6352 6944 7936 11116 12307 12704 13888 22232 24614 25408 27776 44464 49228 50816 55552 86149 88928 98456 101632 172298 177856 196912 344596 355712 393824 689192 711424 787648 1378384 1575296 2756768 3150592 5513536 11027072 22054144