Search a number
-
+
233224332 = 2231115111701
BaseRepresentation
bin11011110011010…
…11100010001100
3121020212000122020
431321223202030
5434201134312
635050450140
75531242215
oct1571534214
9536760566
10233224332
1110a715990
1266133950
133941aa83
1422d9040c
151571d78c
hexde6b88c

233224332 has 48 divisors (see below), whose sum is σ = 597644544. Its totient is φ = 70200000.

The previous prime is 233224331. The next prime is 233224349. The reversal of 233224332 is 233422332.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (233224331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14082 + ... + 25782.

It is an arithmetic number, because the mean of its divisors is an integer number (12450928).

Almost surely, 2233224332 is an apocalyptic number.

233224332 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 233224332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298822272).

233224332 is an abundant number, since it is smaller than the sum of its proper divisors (364420212).

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

233224332 is a wasteful number, since it uses less digits than its factorization.

233224332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870 (or 11868 counting only the distinct ones).

The product of its digits is 5184, while the sum is 24.

The square root of 233224332 is about 15271.6839935876. The cubic root of 233224332 is about 615.5423703747.

Adding to 233224332 its reverse (233422332), we get a palindrome (466646664).

The spelling of 233224332 in words is "two hundred thirty-three million, two hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 1661 1812 3322 4983 6644 9966 11701 19932 23402 35103 46804 70206 128711 140412 257422 386133 514844 772266 1544532 1766851 3533702 5300553 7067404 10601106 19435361 21202212 38870722 58306083 77741444 116612166 233224332