Search a number
-
+
222312231000 = 233253296712713
BaseRepresentation
bin1100111100001011010…
…1110111000001011000
3210020211022200110101100
43033002311313001120
512120243412343000
6250043454351400
722030050533106
oct3170265670130
9706738613340
10222312231000
1186311505632
1237103abb560
1317c6ba62122
14aa8d4dac76
155bb21caa00
hex33c2d77058

222312231000 has 384 divisors, whose sum is σ = 788990155200. Its totient is φ = 56380262400.

The previous prime is 222312230977. The next prime is 222312231073. The reversal of 222312231000 is 132213222.

222312231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2223122310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17480644 + ... + 17493356.

Almost surely, 2222312231000 is an apocalyptic number.

222312231000 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 222312231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394495077600).

222312231000 is an abundant number, since it is smaller than the sum of its proper divisors (566677924200).

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

222312231000 is a wasteful number, since it uses less digits than its factorization.

222312231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12836 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222312231000 its reverse (132213222), we get a palindrome (222444444222).

The spelling of 222312231000 in words is "two hundred twenty-two billion, three hundred twelve million, two hundred thirty-one thousand".