Search a number
-
+
22980152 = 2313792797
BaseRepresentation
bin101011110101…
…0011000111000
31121020111211202
41113222120320
521340331102
62140313332
7366220346
oct127523070
947214752
1022980152
1111a76368
127842848
1349b7a30
1430a2996
15203de02
hex15ea638

22980152 has 32 divisors (see below), whose sum is σ = 47006400. Its totient is φ = 10468224.

The previous prime is 22980137. The next prime is 22980163. The reversal of 22980152 is 25108922.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6818 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (1468950).

Almost surely, 222980152 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 22980152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23503200).

22980152 is an abundant number, since it is smaller than the sum of its proper divisors (24026248).

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

22980152 is a wasteful number, since it uses less digits than its factorization.

22980152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 22980152 is about 4793.7617796465. The cubic root of 22980152 is about 284.3048699907.

It can be divided in two parts, 22980 and 152, that added together give a palindrome (23132).

The spelling of 22980152 in words is "twenty-two million, nine hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 2797 4108 5594 8216 11188 22376 36361 72722 145444 220963 290888 441926 883852 1767704 2872519 5745038 11490076 22980152