Search a number
-
+
23215668 = 22371911447
BaseRepresentation
bin101100010001…
…1111000110100
31121200110220120
41120203320310
521420400133
62145331540
7401221110
oct130437064
947613816
1023215668
1112117303
127936bb0
134a6aca8
143124740
152088ab3
hex1623e34

23215668 has 48 divisors (see below), whose sum is σ = 62275584. Its totient is φ = 6593760.

The previous prime is 23215667. The next prime is 23215669. The reversal of 23215668 is 86651232.

It is an interprime number because it is at equal distance from previous prime (23215667) and next prime (23215669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23215667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15321 + ... + 16767.

It is an arithmetic number, because the mean of its divisors is an integer number (1297408).

Almost surely, 223215668 is an apocalyptic number.

23215668 is a gapful number since it is divisible by the number (28) 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 23215668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31137792).

23215668 is an abundant number, since it is smaller than the sum of its proper divisors (39059916).

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

23215668 is a wasteful number, since it uses less digits than its factorization.

23215668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 23215668 is about 4818.2640027296. The cubic root of 23215668 is about 285.2728197047.

The spelling of 23215668 in words is "twenty-three million, two hundred fifteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 1447 2292 2674 2894 4011 4341 5348 5788 8022 8682 10129 16044 17364 20258 30387 40516 60774 121548 276377 552754 829131 1105508 1658262 1934639 3316524 3869278 5803917 7738556 11607834 23215668