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23337972 = 22327372503
BaseRepresentation
bin101100100000…
…1101111110100
31121220200200100
41121001233310
521433303342
62152114100
7402240510
oct131015764
947820610
1023337972
11121a0189
127995930
134ab1868
143157140
1520aee4c
hex1641bf4

23337972 has 72 divisors (see below), whose sum is σ = 69270656. Its totient is φ = 6485184.

The previous prime is 23337917. The next prime is 23337973. The reversal of 23337972 is 27973332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23337973) 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 23 ways as a sum of consecutive naturals, for example, 8073 + ... + 10575.

Almost surely, 223337972 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 23337972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34635328).

23337972 is an abundant number, since it is smaller than the sum of its proper divisors (45932684).

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

23337972 is a wasteful number, since it uses less digits than its factorization.

23337972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2552 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 23337972 is about 4830.9390391517. The cubic root of 23337972 is about 285.7728974517.

The spelling of 23337972 in words is "twenty-three million, three hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 2503 3108 4662 5006 7509 9324 10012 15018 17521 22527 30036 35042 45054 52563 70084 90108 92611 105126 157689 185222 210252 277833 315378 370444 555666 630756 648277 833499 1111332 1296554 1666998 1944831 2593108 3333996 3889662 5834493 7779324 11668986 23337972