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22260080 = 245674153
BaseRepresentation
bin101010011101…
…0100101110000
31112212221002102
41110322211300
521144310310
62113035532
7360131123
oct124724560
945787072
1022260080
1111624367
127555ba8
1347c505b
142d563ba
151e4a8a5
hex153a970

22260080 has 40 divisors (see below), whose sum is σ = 52539792. Its totient is φ = 8769024.

The previous prime is 22260079. The next prime is 22260103. The reversal of 22260080 is 8006222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×222600802 = 991022323212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3284 + ... + 7436.

Almost surely, 222260080 is an apocalyptic number.

22260080 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 22260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269896).

22260080 is an abundant number, since it is smaller than the sum of its proper divisors (30279712).

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

22260080 is a wasteful number, since it uses less digits than its factorization.

22260080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22260080 is about 4718.0589229046. The cubic root of 22260080 is about 281.3037836237.

The spelling of 22260080 in words is "twenty-two million, two hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 4153 5360 8306 16612 20765 33224 41530 66448 83060 166120 278251 332240 556502 1113004 1391255 2226008 2782510 4452016 5565020 11130040 22260080