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23319712 = 2513291933
BaseRepresentation
bin101100011110…
…1010010100000
31121212202122001
41120331102200
521432212322
62151453344
7402133333
oct130752240
947782561
1023319712
1112188499
127987254
134aa6460
14315061a
1520a9827
hex163d4a0

23319712 has 48 divisors (see below), whose sum is σ = 51173640. Its totient is φ = 10386432.

The previous prime is 23319701. The next prime is 23319727. The reversal of 23319712 is 21791332.

It can be written as a sum of positive squares in 4 ways, for example, as 18284176 + 5035536 = 4276^2 + 2244^2 .

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 7 ways as a sum of consecutive naturals, for example, 11098 + ... + 13030.

Almost surely, 223319712 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 23319712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25586820).

23319712 is an abundant number, since it is smaller than the sum of its proper divisors (27853928).

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

23319712 is a wasteful number, since it uses less digits than its factorization.

23319712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1977 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 23319712 is about 4829.0487676146. The cubic root of 23319712 is about 285.6983469204.

The spelling of 23319712 in words is "twenty-three million, three hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 1933 3016 3866 6032 7732 12064 15464 25129 30928 50258 56057 61856 100516 112114 201032 224228 402064 448456 728741 804128 896912 1457482 1793824 2914964 5829928 11659856 23319712