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22328992 = 257831201
BaseRepresentation
bin101010100101…
…1011010100000
31120000102121201
41111023122200
521204011432
62114330544
7360536050
oct125133240
946012551
1022328992
1111671114
127589a54
13481a52a
142d73560
151e60ee7
hex154b6a0

22328992 has 48 divisors (see below), whose sum is σ = 50887872. Its totient is φ = 9446400.

The previous prime is 22328987. The next prime is 22328993. The reversal of 22328992 is 29982322.

It is a super-3 number, since 3×223289923 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22328993) 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 7 ways as a sum of consecutive naturals, for example, 17992 + ... + 19192.

It is an arithmetic number, because the mean of its divisors is an integer number (1060164).

Almost surely, 222328992 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 22328992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443936).

22328992 is an abundant number, since it is smaller than the sum of its proper divisors (28558880).

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

22328992 is a wasteful number, since it uses less digits than its factorization.

22328992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 22328992 is about 4725.3562828638. The cubic root of 22328992 is about 281.5937681558.

The spelling of 22328992 in words is "twenty-two million, three hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1201 1328 2324 2402 2656 4648 4804 8407 9296 9608 16814 18592 19216 33628 38432 67256 99683 134512 199366 269024 398732 697781 797464 1395562 1594928 2791124 3189856 5582248 11164496 22328992