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22086270 = 235561149
BaseRepresentation
bin101010001000…
…0001001111110
31112120002200000
41110100021332
521123230040
62105215130
7355505313
oct124201176
945502600
1022086270
1111515818
1274914a6
134763bcb
142d0cd0a
151e14130
hex151027e

22086270 has 96 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 5754240.

The previous prime is 22086263. The next prime is 22086277. The reversal of 22086270 is 7268022.

22086270 = 1712 + 1722 + ... + 4142.

It is an interprime number because it is at equal distance from previous prime (22086263) and next prime (22086277).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22086277) 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 47 ways as a sum of consecutive naturals, for example, 148156 + ... + 148304.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 222086270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22086270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

22086270 is an abundant number, since it is smaller than the sum of its proper divisors (38847330).

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

22086270 is a wasteful number, since it uses less digits than its factorization.

22086270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22086270 is about 4699.6031747372. The cubic root of 22086270 is about 280.5697158635.

The spelling of 22086270 in words is "twenty-two million, eighty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 149 162 183 243 270 298 305 366 405 447 486 549 610 745 810 894 915 1098 1215 1341 1490 1647 1830 2235 2430 2682 2745 3294 4023 4470 4941 5490 6705 8046 8235 9089 9882 12069 13410 14823 16470 18178 20115 24138 24705 27267 29646 36207 40230 45445 49410 54534 60345 72414 74115 81801 90890 120690 136335 148230 163602 181035 245403 272670 362070 409005 490806 736209 818010 1227015 1472418 2208627 2454030 3681045 4417254 7362090 11043135 22086270