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22605090 = 235231812
BaseRepresentation
bin101011000111…
…0110100100010
31120112110100120
41112032310202
521241330330
62124301110
7363066024
oct126166442
946473316
1022605090
111183a5a2
1276a1796
1348b60c1
143006014
151eb7c10
hex158ed22

22605090 has 48 divisors (see below), whose sum is σ = 56925504. Its totient is φ = 5734080.

The previous prime is 22605071. The next prime is 22605091. The reversal of 22605090 is 9050622.

It is a super-4 number, since 4×226050904 (a number of 31 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22605090.

It is not an unprimeable number, because it can be changed into a prime (22605091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124800 + ... + 124980.

It is an arithmetic number, because the mean of its divisors is an integer number (1185948).

Almost surely, 222605090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22605090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28462752).

22605090 is an abundant number, since it is smaller than the sum of its proper divisors (34320414).

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

22605090 is a wasteful number, since it uses less digits than its factorization.

22605090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 22605090 is about 4754.4810442361. The cubic root of 22605090 is about 282.7496527016.

The spelling of 22605090 in words is "twenty-two million, six hundred five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 181 230 345 362 543 690 905 1086 1810 2715 4163 5430 8326 12489 20815 24978 32761 41630 62445 65522 98283 124890 163805 196566 327610 491415 753503 982830 1507006 2260509 3767515 4521018 7535030 11302545 22605090