Search a number
-
+
23183629224 = 23374389107337
BaseRepresentation
bin10101100101110110…
…100001101110101000
32012211201002101112020
4111211312201232220
5334440002113344
614352253344440
71450340411520
oct254566415650
965751071466
1023183629224
119917610858
1245b0198120
132256133c02
14119d04c680
1590a4d3719
hex565da1ba8

23183629224 has 256 divisors, whose sum is σ = 69386803200. Its totient is φ = 6318563328.

The previous prime is 23183629159. The next prime is 23183629241. The reversal of 23183629224 is 42292638132.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 68793984 + ... + 68794320.

It is an arithmetic number, because the mean of its divisors is an integer number (271042200).

Almost surely, 223183629224 is an apocalyptic number.

23183629224 is a gapful number since it is divisible by the number (24) 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 23183629224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34693401600).

23183629224 is an abundant number, since it is smaller than the sum of its proper divisors (46203173976).

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

23183629224 is a wasteful number, since it uses less digits than its factorization.

23183629224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 23183629224 in words is "twenty-three billion, one hundred eighty-three million, six hundred twenty-nine thousand, two hundred twenty-four".