Search a number
-
+
231323033000 = 2353809285937
BaseRepresentation
bin1101011101101111101…
…1010101110110101000
3211010002022002121221202
43113123323111312220
512242222144024000
6254133543223332
722466254223633
oct3273373256650
9733068077852
10231323033000
118a115904534
12389b9747b48
1318a76825027
14b2a6124c1a
15603d2dcdd5
hex35dbed5da8

231323033000 has 64 divisors (see below), whose sum is σ = 541966885200. Its totient is φ = 92414515200.

The previous prime is 231323032999. The next prime is 231323033003. The reversal of 231323033000 is 330323132.

It can be written as a sum of positive squares in 8 ways, for example, as 832784164 + 230490248836 = 28858^2 + 480094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (231323033003) 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, 666032 + ... + 951968.

Almost surely, 2231323033000 is an apocalyptic number.

231323033000 is a gapful number since it is divisible by the number (20) 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 231323033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270983442600).

231323033000 is an abundant number, since it is smaller than the sum of its proper divisors (310643852200).

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

231323033000 is a wasteful number, since it uses less digits than its factorization.

231323033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286767 (or 286753 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 231323033000 its reverse (330323132), we get a palindrome (231653356132).

The spelling of 231323033000 in words is "two hundred thirty-one billion, three hundred twenty-three million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 809 1000 1618 3236 4045 6472 8090 16180 20225 32360 40450 80900 101125 161800 202250 285937 404500 571874 809000 1143748 1429685 2287496 2859370 5718740 7148425 11437480 14296850 28593700 35742125 57187400 71484250 142968500 231323033 285937000 462646066 925292132 1156615165 1850584264 2313230330 4626460660 5783075825 9252921320 11566151650 23132303300 28915379125 46264606600 57830758250 115661516500 231323033000