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23668216 = 231113171217
BaseRepresentation
bin101101001001…
…0010111111000
31122112110200121
41122102113320
522024340331
62203143024
7405114355
oct132222770
948473617
1023668216
11123a6310
127b14a74
134b98c80
14320162c
152127c11
hex16925f8

23668216 has 64 divisors (see below), whose sum is σ = 55248480. Its totient is φ = 9338880.

The previous prime is 23668207. The next prime is 23668217. The reversal of 23668216 is 61286632.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23668217) 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 15 ways as a sum of consecutive naturals, for example, 18840 + ... + 20056.

Almost surely, 223668216 is an apocalyptic number.

23668216 is a gapful number since it is divisible by the number (26) 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 23668216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27624240).

23668216 is an abundant number, since it is smaller than the sum of its proper divisors (31580264).

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

23668216 is a wasteful number, since it uses less digits than its factorization.

23668216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 23668216 is about 4864.9990750256. Note that the first 3 decimals coincide. The cubic root of 23668216 is about 287.1145321833.

The spelling of 23668216 in words is "twenty-three million, six hundred sixty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1217 1496 1768 2431 2434 4862 4868 9724 9736 13387 15821 19448 20689 26774 31642 41378 53548 63284 82756 107096 126568 165512 174031 227579 268957 348062 455158 537914 696124 910316 1075828 1392248 1820632 2151656 2958527 5917054 11834108 23668216