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22109080 = 23572812
BaseRepresentation
bin101010001010…
…1101110011000
31112121020221211
41110111232120
521124442310
62105512504
7355631650
oct124255630
945536854
1022109080
1111530974
1274a2734
1347713c6
142d17360
151e1ac8a
hex1515b98

22109080 has 48 divisors (see below), whose sum is σ = 57054960. Its totient is φ = 7553280.

The previous prime is 22109077. The next prime is 22109081. The reversal of 22109080 is 8090122.

It is a super-2 number, since 2×221090802 = 977622836892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22109081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78540 + ... + 78820.

It is an arithmetic number, because the mean of its divisors is an integer number (1188645).

Almost surely, 222109080 is an apocalyptic number.

22109080 is a gapful number since it is divisible by the number (20) 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 22109080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28527480).

22109080 is an abundant number, since it is smaller than the sum of its proper divisors (34945880).

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

22109080 is an equidigital number, since it uses as much as digits as its factorization.

22109080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 22109080 is about 4702.0293491215. The cubic root of 22109080 is about 280.6662704698. Note that the first 3 decimals are identical.

The spelling of 22109080 in words is "twenty-two million, one hundred nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 281 562 1124 1405 1967 2248 2810 3934 5620 7868 9835 11240 15736 19670 39340 78680 78961 157922 315844 394805 552727 631688 789610 1105454 1579220 2210908 2763635 3158440 4421816 5527270 11054540 22109080