Search a number
-
+
3230133000 = 233531961929
BaseRepresentation
bin1100000010000111…
…1110101100001000
322100010001202110120
43000201332230020
523103403224000
61252304543240
7143021451243
oct30041765410
98303052416
103230133000
111408364806
12761921b20
133c628c203
14228dd025a
1513d8a16a0
hexc087eb08

3230133000 has 256 divisors, whose sum is σ = 10793952000. Its totient is φ = 801792000.

The previous prime is 3230132989. The next prime is 3230133017. The reversal of 3230133000 is 3310323.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3476536 + ... + 3477464.

It is an arithmetic number, because the mean of its divisors is an integer number (42163875).

Almost surely, 23230133000 is an apocalyptic number.

3230133000 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 3230133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396976000).

3230133000 is an abundant number, since it is smaller than the sum of its proper divisors (7563819000).

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

3230133000 is a wasteful number, since it uses less digits than its factorization.

3230133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3230133000 is about 56834.2590344943. The cubic root of 3230133000 is about 1478.2236113547.

Adding to 3230133000 its reverse (3310323), we get a palindrome (3233443323).

The spelling of 3230133000 in words is "three billion, two hundred thirty million, one hundred thirty-three thousand".