Search a number
-
+
23334643332 = 223271121337243
BaseRepresentation
bin10101101110110110…
…100110011010000100
32020020020020200221100
4111232312212122010
5340242132041312
614415250220100
71454153124060
oct255666463204
966206220840
1023334643332
119994885a00
124632884630
13227b4c9580
1411b511caa0
159188b35dc
hex56eda6684

23334643332 has 648 divisors, whose sum is σ = 83918522688. Its totient is φ = 5316917760.

The previous prime is 23334643313. The next prime is 23334643333.

It is a happy number.

23334643332 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 4 + 643 + 3 + 3 + 2 = 666.

23334643332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (23334643333) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 542666103 + ... + 542666145.

Almost surely, 223334643332 is an apocalyptic number.

23334643332 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 23334643332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41959261344).

23334643332 is an abundant number, since it is smaller than the sum of its proper divisors (60583879356).

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

23334643332 is a wasteful number, since it uses less digits than its factorization.

23334643332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 116 counting only the distinct ones).

The product of its digits is 279936, while the sum is 36.

It can be divided in two parts, 23334 and 643332, that added together give a palindrome (666666).

The spelling of 23334643332 in words is "twenty-three billion, three hundred thirty-four million, six hundred forty-three thousand, three hundred thirty-two".