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22117056 = 263138861
BaseRepresentation
bin101010001011…
…1101011000000
31112121122220020
41110113223000
521130221211
62110013440
7355664133
oct124275300
945548806
1022117056
1111536965
1274a7280
134774c20
142d1a21a
151e1d306
hex1517ac0

22117056 has 56 divisors (see below), whose sum is σ = 63026544. Its totient is φ = 6804480.

The previous prime is 22117037. The next prime is 22117057. The reversal of 22117056 is 65071122.

It is a super-2 number, since 2×221170562 = 978328332214272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22117057) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1935 + ... + 6926.

It is an arithmetic number, because the mean of its divisors is an integer number (1125474).

Almost surely, 222117056 is an apocalyptic number.

22117056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22117056 is an abundant number, since it is smaller than the sum of its proper divisors (40909488).

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

22117056 is a wasteful number, since it uses less digits than its factorization.

22117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 22117056 is about 4702.8774170714. The cubic root of 22117056 is about 280.7000171632.

Adding to 22117056 its reverse (65071122), we get a palindrome (87188178).

The spelling of 22117056 in words is "twenty-two million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 8861 17722 26583 35444 53166 70888 106332 115193 141776 212664 230386 283552 345579 425328 460772 567104 691158 850656 921544 1382316 1701312 1843088 2764632 3686176 5529264 7372352 11058528 22117056