Search a number
-
+
23236416 = 2633717113
BaseRepresentation
bin101100010100…
…0111101000000
31121201112101000
41120220331000
521422031131
62150012000
7401335440
oct130507500
947645330
1023236416
1112130955
127947000
134a77578
14312c120
15208ece6
hex1628f40

23236416 has 224 divisors, whose sum is σ = 83393280. Its totient is φ = 6193152.

The previous prime is 23236403. The next prime is 23236427. The reversal of 23236416 is 61463232.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23236416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205576 + ... + 205688.

Almost surely, 223236416 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 23236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

23236416 is an abundant number, since it is smaller than the sum of its proper divisors (60156864).

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

23236416 is a wasteful number, since it uses less digits than its factorization.

23236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 23236416 is about 4820.4165795085. The cubic root of 23236416 is about 285.3577778186.

Adding to 23236416 its reverse (61463232), we get a palindrome (84699648).

The spelling of 23236416 in words is "twenty-three million, two hundred thirty-six thousand, four hundred sixteen".