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22105680 = 243592107
BaseRepresentation
bin101010001010…
…0111001010000
31112121002021220
41110110321100
521124340210
62105445040
7355616022
oct124247120
945532256
1022105680
1111529363
1274a0780
13476c9ac
142d16012
151e19c70
hex1514e50

22105680 has 40 divisors (see below), whose sum is σ = 68528352. Its totient is φ = 5894784.

The previous prime is 22105679. The next prime is 22105693. The reversal of 22105680 is 8650122.

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

It is a super-2 number, since 2×221056802 = 977322176524800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22105680.

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, 45814 + ... + 46293.

Almost surely, 222105680 is an apocalyptic number.

22105680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105680 is an abundant number, since it is smaller than the sum of its proper divisors (46422672).

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

22105680 is a wasteful number, since it uses less digits than its factorization.

22105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92123 (or 92117 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 22105680 is about 4701.6677891999. The cubic root of 22105680 is about 280.6518825013.

The spelling of 22105680 in words is "twenty-two million, one hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 92107 184214 276321 368428 460535 552642 736856 921070 1105284 1381605 1473712 1842140 2210568 2763210 3684280 4421136 5526420 7368560 11052840 22105680