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23001616 = 241121092
BaseRepresentation
bin101011110111…
…1101000010000
31121021121021201
41113233220100
521342022431
62141000544
7366340051
oct127575020
947247251
1023001616
1111a90500
127853154
1349c4731
1430aa728
152045461
hex15efa10

23001616 has 45 divisors (see below), whose sum is σ = 49438893. Its totient is φ = 10359360.

The previous prime is 23001613. The next prime is 23001617. The reversal of 23001616 is 61610032.

The square root of 23001616 is 4796.

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., 16032016 + 6969600 = 4004^2 + 2640^2 .

It is a super-2 number, since 2×230016162 = 1058148677222912, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23001593 and 23001602.

It is not an unprimeable number, because it can be changed into a prime (23001613) 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 8 ways as a sum of consecutive naturals, for example, 210970 + ... + 211078.

Almost surely, 223001616 is an apocalyptic number.

23001616 is the 4796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23001616

23001616 is an abundant number, since it is smaller than the sum of its proper divisors (26437277).

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

23001616 is a wasteful number, since it uses less digits than its factorization.

23001616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 23001616 is about 284.3933582481.

Adding to 23001616 its reverse (61610032), we get a palindrome (84611648).

It can be divided in two parts, 230016 and 16, that added together give a palindrome (230032).

The spelling of 23001616 in words is "twenty-three million, one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 109 121 176 218 242 436 484 872 968 1199 1744 1936 2398 4796 9592 11881 13189 19184 23762 26378 47524 52756 95048 105512 130691 190096 211024 261382 522764 1045528 1437601 2091056 2875202 5750404 11500808 23001616