Search a number
-
+
3233152320 = 263523181809
BaseRepresentation
bin1100000010110101…
…1111110101000000
322100022202011012020
43000231133311000
523110141333240
61252453401440
7143056225026
oct30055376500
98308664166
103233152320
11140a037212
12762939280
133c6aa85a8
14229578716
1513dc9b0d0
hexc0b5fd40

3233152320 has 224 divisors, whose sum is σ = 10784067840. Its totient is φ = 819118080.

The previous prime is 3233152303. The next prime is 3233152337. The reversal of 3233152320 is 232513323.

It is an interprime number because it is at equal distance from previous prime (3233152303) and next prime (3233152337).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3996076 + ... + 3996884.

It is an arithmetic number, because the mean of its divisors is an integer number (48143160).

Almost surely, 23233152320 is an apocalyptic number.

3233152320 is a gapful number since it is divisible by the number (30) 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 3233152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392033920).

3233152320 is an abundant number, since it is smaller than the sum of its proper divisors (7550915520).

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

3233152320 is a wasteful number, since it uses less digits than its factorization.

3233152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3233152320 is about 56860.8153300672. The cubic root of 3233152320 is about 1478.6840506193.

Adding to 3233152320 its reverse (232513323), we get a palindrome (3465665643).

The spelling of 3233152320 in words is "three billion, two hundred thirty-three million, one hundred fifty-two thousand, three hundred twenty".