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23331648 = 263137887
BaseRepresentation
bin101100100000…
…0001101000000
31121220101000010
41121000031000
521433103043
62152024520
7402213204
oct131001500
947811003
1023331648
111219645a
127992140
134aaba12
143154b04
1520ad133
hex1640340

23331648 has 56 divisors (see below), whose sum is σ = 62252352. Its totient is φ = 7711744.

The previous prime is 23331647. The next prime is 23331673. The reversal of 23331648 is 84613332.

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 (23331641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25861 + ... + 26747.

Almost surely, 223331648 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 23331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31126176).

23331648 is an abundant number, since it is smaller than the sum of its proper divisors (38920704).

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

23331648 is a wasteful number, since it uses less digits than its factorization.

23331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 23331648 is about 4830.2844636729. The cubic root of 23331648 is about 285.7470827113.

The spelling of 23331648 in words is "twenty-three million, three hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 887 1096 1644 1774 2192 2661 3288 3548 4384 5322 6576 7096 8768 10644 13152 14192 21288 26304 28384 42576 56768 85152 121519 170304 243038 364557 486076 729114 972152 1458228 1944304 2916456 3888608 5832912 7777216 11665824 23331648