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22989516 = 22311271223
BaseRepresentation
bin101011110110…
…0101011001100
31121020222200120
41113230223030
521341131031
62140424540
7366256554
oct127545314
947228616
1022989516
1111a82400
127848150
1349bc084
1430a6164
152041a96
hex15ecacc

22989516 has 72 divisors (see below), whose sum is σ = 60060672. Its totient is φ = 6837600.

The previous prime is 22989503. The next prime is 22989521. The reversal of 22989516 is 61598922.

22989516 = T123 + T124 + ... + T518.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102981 + ... + 103203.

It is an arithmetic number, because the mean of its divisors is an integer number (834176).

Almost surely, 222989516 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 22989516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30030336).

22989516 is an abundant number, since it is smaller than the sum of its proper divisors (37071156).

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

22989516 is a wasteful number, since it uses less digits than its factorization.

22989516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 22989516 is about 4794.7383661676. The cubic root of 22989516 is about 284.3434811261.

The spelling of 22989516 in words is "twenty-two million, nine hundred eighty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 223 242 284 363 426 446 484 669 726 781 852 892 1338 1452 1562 2343 2453 2676 3124 4686 4906 7359 8591 9372 9812 14718 15833 17182 25773 26983 29436 31666 34364 47499 51546 53966 63332 80949 94998 103092 107932 161898 174163 189996 323796 348326 522489 696652 1044978 1915793 2089956 3831586 5747379 7663172 11494758 22989516