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23197632 = 263196359
BaseRepresentation
bin101100001111…
…1011111000000
31121122120011120
41120133133000
521414311012
62145112240
7401114403
oct130373700
947576146
1023197632
11121047a7
127928680
134a62a13
14311bd3a
15208358c
hex161f7c0

23197632 has 56 divisors (see below), whose sum is σ = 64617600. Its totient is φ = 7324416.

The previous prime is 23197627. The next prime is 23197633. The reversal of 23197632 is 23679132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23197593 and 23197602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23197633) 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 7 ways as a sum of consecutive naturals, for example, 469 + ... + 6827.

Almost surely, 223197632 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 23197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32308800).

23197632 is an abundant number, since it is smaller than the sum of its proper divisors (41419968).

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

23197632 is a wasteful number, since it uses less digits than its factorization.

23197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6383 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 23197632 is about 4816.3920106237. The cubic root of 23197632 is about 285.1989254484.

The spelling of 23197632 in words is "twenty-three million, one hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 6359 12718 19077 25436 38154 50872 76308 101744 120821 152616 203488 241642 305232 362463 406976 483284 610464 724926 966568 1220928 1449852 1933136 2899704 3866272 5799408 7732544 11598816 23197632