Search a number
-
+
12233088 = 273273741
BaseRepresentation
bin101110101010…
…100110000000
3212000111122100
4232222212000
511112424323
61114110400
7205656660
oct56524600
925014570
1012233088
1169a599a
12411b400
1326c411a
1418a61a0
151119943
hexbaa980

12233088 has 192 divisors, whose sum is σ = 42325920. Its totient is φ = 3317760.

The previous prime is 12233077. The next prime is 12233101. The reversal of 12233088 is 88033221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298348 + ... + 298388.

Almost surely, 212233088 is an apocalyptic number.

12233088 is a gapful number since it is divisible by the number (18) 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 12233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960).

12233088 is an abundant number, since it is smaller than the sum of its proper divisors (30092832).

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

12233088 is a wasteful number, since it uses less digits than its factorization.

12233088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12233088 is about 3497.5831655588. The cubic root of 12233088 is about 230.4156818030.

The spelling of 12233088 in words is "twelve million, two hundred thirty-three thousand, eighty-eight".