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23797216 = 2537101199
BaseRepresentation
bin101101011000…
…1110111100000
31122210000122101
41122301313200
522043002331
62210020144
7406162432
oct132616740
948700571
1023797216
1112484223
127b77654
134c128c1
143236652
152151061
hex16b1de0

23797216 has 48 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 11404800.

The previous prime is 23797201. The next prime is 23797219. The reversal of 23797216 is 61279732.

23797216 = 5782 + 5792 + ... + 6412.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23797219) 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, 119485 + ... + 119683.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 223797216 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 23797216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

23797216 is an abundant number, since it is smaller than the sum of its proper divisors (25040384).

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

23797216 is a wasteful number, since it uses less digits than its factorization.

23797216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 23797216 is about 4878.2390265341. The cubic root of 23797216 is about 287.6352120138.

The spelling of 23797216 in words is "twenty-three million, seven hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 101 148 199 202 296 398 404 592 796 808 1184 1592 1616 3184 3232 3737 6368 7363 7474 14726 14948 20099 29452 29896 40198 58904 59792 80396 117808 119584 160792 235616 321584 643168 743663 1487326 2974652 5949304 11898608 23797216