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22855168 = 2972911
BaseRepresentation
bin101011100101…
…1111000000000
31121000011101201
41113023320000
521322331133
62133510544
7365160100
oct127137000
947004351
1022855168
11119a0476
1277a2454
134972b8b
14306d200
152016d7d
hex15cbe00

22855168 has 60 divisors (see below), whose sum is σ = 53179632. Its totient is φ = 9784320.

The previous prime is 22855141. The next prime is 22855181. The reversal of 22855168 is 86155822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24633 + ... + 25543.

Almost surely, 222855168 is an apocalyptic number.

22855168 is a gapful number since it is divisible by the number (28) 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 22855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26589816).

22855168 is an abundant number, since it is smaller than the sum of its proper divisors (30324464).

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

22855168 is an frugal number, since it uses more digits than its factorization.

22855168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 920 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The square root of 22855168 is about 4780.7078973725. The cubic root of 22855168 is about 283.7885088142.

The spelling of 22855168 in words is "twenty-two million, eight hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 911 1568 1792 1822 3136 3584 3644 6272 6377 7288 12544 12754 14576 25088 25508 29152 44639 51016 58304 89278 102032 116608 178556 204064 233216 357112 408128 466432 714224 816256 1428448 1632512 2856896 3265024 5713792 11427584 22855168