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23244480 = 2632571153
BaseRepresentation
bin101100010101…
…0111011000000
31121201221102200
41120222323000
521422310410
62150113200
7401401110
oct130527300
947657380
1023244480
1112136a16
12794b800
134a7b13c
143131040
1520923c0
hex162aec0

23244480 has 168 divisors, whose sum is σ = 91452192. Its totient is φ = 5308416.

The previous prime is 23244479. The next prime is 23244493. The reversal of 23244480 is 8444232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19584 + ... + 20736.

Almost surely, 223244480 is an apocalyptic number.

23244480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45726096).

23244480 is an abundant number, since it is smaller than the sum of its proper divisors (68207712).

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

23244480 is a wasteful number, since it uses less digits than its factorization.

23244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 23244480 is about 4821.2529491824. The cubic root of 23244480 is about 285.3907843284.

The spelling of 23244480 in words is "twenty-three million, two hundred forty-four thousand, four hundred eighty".