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22085118 = 23211711571
BaseRepresentation
bin101010000111…
…1110111111110
31112120001002100
41110033313332
521123210433
62105205530
7355502046
oct124176776
945501070
1022085118
1111514970
1274908a6
134763523
142d0c726
151e13b13
hex150fdfe

22085118 has 48 divisors (see below), whose sum is σ = 52970112. Its totient is φ = 6594000.

The previous prime is 22085081. The next prime is 22085123. The reversal of 22085118 is 81158022.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22085091 and 22085100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13273 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (1103544).

Almost surely, 222085118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22085118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26485056).

22085118 is an abundant number, since it is smaller than the sum of its proper divisors (30884994).

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

22085118 is a wasteful number, since it uses less digits than its factorization.

22085118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 22085118 is about 4699.4806095993. The cubic root of 22085118 is about 280.5648376906.

The spelling of 22085118 in words is "twenty-two million, eighty-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 1571 2343 3142 4686 4713 7029 9426 14058 14139 17281 28278 34562 51843 103686 111541 155529 223082 311058 334623 669246 1003869 1226951 2007738 2453902 3680853 7361706 11042559 22085118