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22086540 = 2233575843
BaseRepresentation
bin101010001000…
…0001110001100
31112120010001000
41110100032030
521123232130
62105220300
7355506150
oct124201614
945503030
1022086540
1111515a43
127491690
134764078
142d0d060
151e14260
hex151038c

22086540 has 96 divisors (see below), whose sum is σ = 78543360. Its totient is φ = 5047488.

The previous prime is 22086527. The next prime is 22086551. The reversal of 22086540 is 4568022.

22086540 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859 + ... + 6701.

It is an arithmetic number, because the mean of its divisors is an integer number (818160).

Almost surely, 222086540 is an apocalyptic number.

22086540 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 22086540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39271680).

22086540 is an abundant number, since it is smaller than the sum of its proper divisors (56456820).

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

22086540 is a wasteful number, since it uses less digits than its factorization.

22086540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22086540 is about 4699.6319004790. The cubic root of 22086540 is about 280.5708591608.

The spelling of 22086540 in words is "twenty-two million, eighty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5843 11686 17529 23372 29215 35058 40901 52587 58430 70116 81802 87645 105174 116860 122703 157761 163604 175290 204505 210348 245406 262935 315522 350580 368109 409010 490812 525870 613515 631044 736218 788805 818020 1051740 1104327 1227030 1472436 1577610 1840545 2208654 2454060 3155220 3681090 4417308 5521635 7362180 11043270 22086540