Search a number
-
+
22976352 = 2533729131
BaseRepresentation
bin101011110100…
…1011101100000
31121020022122000
41113221131200
521340220402
62140244000
7366203310
oct127513540
947208560
1022976352
1111a73523
127840600
1349b6099
1430a1440
15203cc1c
hex15e9760

22976352 has 192 divisors, whose sum is σ = 79833600. Its totient is φ = 6289920.

The previous prime is 22976351. The next prime is 22976353. The reversal of 22976352 is 25367922.

It is an interprime number because it is at equal distance from previous prime (22976351) and next prime (22976353).

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 (22976351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175327 + ... + 175457.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 222976352 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 22976352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

22976352 is an abundant number, since it is smaller than the sum of its proper divisors (56857248).

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

22976352 is a wasteful number, since it uses less digits than its factorization.

22976352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 22976352 is about 4793.3654148208. The cubic root of 22976352 is about 284.2891982339.

It can be divided in two parts, 2297 and 6352, that added together give a square (8649 = 932).

The spelling of 22976352 in words is "twenty-two million, nine hundred seventy-six thousand, three hundred fifty-two".