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23668224 = 29319811
BaseRepresentation
bin101101001001…
…0011000000000
31122112110200220
41122102120000
522024340344
62203143040
7405114366
oct132223000
948473626
1023668224
11123a6318
127b14a80
134b98c88
143201636
152127c19
hex1692600

23668224 has 80 divisors (see below), whose sum is σ = 66454080. Its totient is φ = 7464960.

The previous prime is 23668217. The next prime is 23668231. The reversal of 23668224 is 42286632.

It is a Cunningham number, because it is equal to 48652-1.

It is an interprime number because it is at equal distance from previous prime (23668217) and next prime (23668231).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28779 + ... + 29589.

It is an arithmetic number, because the mean of its divisors is an integer number (830676).

Almost surely, 223668224 is an apocalyptic number.

23668224 is a gapful number since it is divisible by the number (24) 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 23668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33227040).

23668224 is an abundant number, since it is smaller than the sum of its proper divisors (42785856).

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

23668224 is an equidigital number, since it uses as much as digits as its factorization.

23668224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 835 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 23668224 is about 4864.9998972251. Note that the first 3 decimals coincide. The cubic root of 23668224 is about 287.1145645321.

The spelling of 23668224 in words is "twenty-three million, six hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 811 912 1216 1536 1622 1824 2432 2433 3244 3648 4864 4866 6488 7296 9728 9732 12976 14592 15409 19464 25952 29184 30818 38928 46227 51904 61636 77856 92454 103808 123272 155712 184908 207616 246544 311424 369816 415232 493088 622848 739632 986176 1245696 1479264 1972352 2958528 3944704 5917056 7889408 11834112 23668224