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22390992 = 243513443
BaseRepresentation
bin101010101101…
…0100011010000
31120010120200000
41111122203100
521213002432
62115530000
7361214601
oct125324320
946116600
1022390992
1111703758
1275b9900
13483c810
142d8bda8
151e7457c
hex155a8d0

22390992 has 120 divisors (see below), whose sum is σ = 70141344. Its totient is φ = 6873984.

The previous prime is 22390981. The next prime is 22390997. The reversal of 22390992 is 29909322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22390997) 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 23 ways as a sum of consecutive naturals, for example, 50323 + ... + 50765.

Almost surely, 222390992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22390992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35070672).

22390992 is an abundant number, since it is smaller than the sum of its proper divisors (47750352).

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

22390992 is a wasteful number, since it uses less digits than its factorization.

22390992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 22390992 is about 4731.9120870954. The cubic root of 22390992 is about 281.8541572716.

The spelling of 22390992 in words is "twenty-two million, three hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 443 468 486 624 648 702 886 936 972 1053 1296 1329 1404 1772 1872 1944 2106 2658 2808 3159 3544 3888 3987 4212 5316 5616 5759 6318 7088 7974 8424 10632 11518 11961 12636 15948 16848 17277 21264 23036 23922 25272 31896 34554 35883 46072 47844 50544 51831 63792 69108 71766 92144 95688 103662 107649 138216 143532 155493 191376 207324 215298 276432 287064 310986 414648 430596 466479 574128 621972 829296 861192 932958 1243944 1399437 1722384 1865916 2487888 2798874 3731832 5597748 7463664 11195496 22390992