Search a number
-
+
222100131000 = 233531159114073
BaseRepresentation
bin1100111011011000110…
…0110000110010111000
3210020021112120122212210
43032312030300302320
512114330113143000
6250010440335120
722021563651546
oct3166614606270
9706245518783
10222100131000
1186212808780
1237064a744a0
1317c36b2c477
14aa6d288d96
155b9d781350
hex33b6330cb8

222100131000 has 256 divisors, whose sum is σ = 768767500800. Its totient is φ = 52929408000.

The previous prime is 222100130981. The next prime is 222100131023. The reversal of 222100131000 is 131001222.

222100131000 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 2×2221001310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 1889964 + ... + 2004036.

It is an arithmetic number, because the mean of its divisors is an integer number (3002998050).

Almost surely, 2222100131000 is an apocalyptic number.

222100131000 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 222100131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384383750400).

222100131000 is an abundant number, since it is smaller than the sum of its proper divisors (546667369800).

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

222100131000 is a wasteful number, since it uses less digits than its factorization.

222100131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114167 (or 114153 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 222100131000 its reverse (131001222), we get a palindrome (222231132222).

The spelling of 222100131000 in words is "two hundred twenty-two billion, one hundred million, one hundred thirty-one thousand".