Search a number
-
+
22665690 = 2335127661
BaseRepresentation
bin101011001110…
…1100111011010
31120122112111000
41112131213122
521300300230
62125445430
7363440505
oct126354732
946575430
1022665690
1111881083
127710876
134907868
14302013c
151ecab60
hex159d9da

22665690 has 64 divisors (see below), whose sum is σ = 61009920. Its totient is φ = 5987520.

The previous prime is 22665667. The next prime is 22665701. The reversal of 22665690 is 9656622.

It is a super-2 number, since 2×226656902 = 1027467006352200, which contains 22 as substring.

It is a Curzon number.

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, 33960 + ... + 34620.

It is an arithmetic number, because the mean of its divisors is an integer number (953280).

Almost surely, 222665690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22665690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30504960).

22665690 is an abundant number, since it is smaller than the sum of its proper divisors (38344230).

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

22665690 is a wasteful number, since it uses less digits than its factorization.

22665690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 22665690 is about 4760.8497140742. The cubic root of 22665690 is about 283.0020934888.

The spelling of 22665690 in words is "twenty-two million, six hundred sixty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 661 762 1143 1270 1322 1905 1983 2286 3305 3429 3810 3966 5715 5949 6610 6858 9915 11430 11898 17145 17847 19830 29745 34290 35694 59490 83947 89235 167894 178470 251841 419735 503682 755523 839470 1259205 1511046 2266569 2518410 3777615 4533138 7555230 11332845 22665690