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22524516 = 2232721132
BaseRepresentation
bin101010111101…
…1001001100100
31120101100211100
41111323021210
521231241031
62122440100
7362312100
oct125731144
946340740
1022524516
1111795003
127663030
134888521
142dc4900
151e9dde6
hex157b264

22524516 has 81 divisors (see below), whose sum is σ = 66824121. Its totient is φ = 6378624.

The previous prime is 22524511. The next prime is 22524547. The reversal of 22524516 is 61542522.

The square root of 22524516 is 4746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 22127616 = 630^2 + 4704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22524516.

It is not an unprimeable number, because it can be changed into a prime (22524511) 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 26 ways as a sum of consecutive naturals, for example, 199276 + ... + 199388.

Almost surely, 222524516 is an apocalyptic number.

22524516 is the 4746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22524516

22524516 is an abundant number, since it is smaller than the sum of its proper divisors (44299605).

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

22524516 is a wasteful number, since it uses less digits than its factorization.

22524516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The cubic root of 22524516 is about 282.4133067317.

The spelling of 22524516 in words is "twenty-two million, five hundred twenty-four thousand, five hundred sixteen".