Search a number
-
+
23330123232 = 25313232928027
BaseRepresentation
bin10101101110100101…
…010110110111100000
32020012220202001112020
4111232211112313200
5340240002420412
614415005301440
71454066526663
oct255645266740
966186661466
1023330123232
119992278989
124631264880
13227a5a6060
1411b46a36da
159182be18c
hex56e956de0

23330123232 has 192 divisors, whose sum is σ = 71195604480. Its totient is φ = 6629382144.

The previous prime is 23330123191. The next prime is 23330123233. The reversal of 23330123232 is 23232103332.

It is a super-2 number, since 2×233301232322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330123233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818403 + ... + 846429.

It is an arithmetic number, because the mean of its divisors is an integer number (370810440).

Almost surely, 223330123232 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 23330123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35597802240).

23330123232 is an abundant number, since it is smaller than the sum of its proper divisors (47865481248).

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

23330123232 is a wasteful number, since it uses less digits than its factorization.

23330123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28105 (or 28097 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23330123232 its reverse (23232103332), we get a palindrome (46562226564).

The spelling of 23330123232 in words is "twenty-three billion, three hundred thirty million, one hundred twenty-three thousand, two hundred thirty-two".