Search a number
-
+
23213322132 = 22373111339439
BaseRepresentation
bin10101100111100111…
…110010111110010100
32012220202221221112120
4111213213302332110
5340020102302012
614355234015540
71451150661000
oct254747627624
965822857476
1023213322132
119932351550
1245ba1175b0
13225c32c190
1411a2d7b700
1590cdeb58c
hex5679f2f94

23213322132 has 192 divisors, whose sum is σ = 74210304000. Its totient is φ = 5565490560.

The previous prime is 23213322101. The next prime is 23213322161. The reversal of 23213322132 is 23122331232.

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 63 ways as a sum of consecutive naturals, for example, 568869 + ... + 608307.

It is an arithmetic number, because the mean of its divisors is an integer number (386512000).

Almost surely, 223213322132 is an apocalyptic number.

23213322132 is a gapful number since it is divisible by the number (22) 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 23213322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37105152000).

23213322132 is an abundant number, since it is smaller than the sum of its proper divisors (50996981868).

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

23213322132 is a wasteful number, since it uses less digits than its factorization.

23213322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39491 (or 39475 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 23213322132 its reverse (23122331232), we get a palindrome (46335653364).

The spelling of 23213322132 in words is "twenty-three billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-two".