Search a number
-
+
222213111120000 = 27325471113237641
BaseRepresentation
bin110010100001101000000101…
…100011011000000010000000
31002010210100212210010000010200
4302201220011203120002000
5213111214422421320000
62104335143255325200
764543240021434240
oct6241500543300200
91063710783100120
10222213111120000
1164893062163930
1220b0a481380800
1396cb7b6532c00
143cc3259c25b20
151aa5416428500
hexca1a058d8080

222213111120000 has 5760 divisors, whose sum is σ = 1109623163425920. Its totient is φ = 41405644800000.

The previous prime is 222213111119959. The next prime is 222213111120061. The reversal of 222213111120000 is 21111312222.

222213111120000 is a `hidden beast` number, since 2 + 222 + 131 + 111 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 346666319680 + ... + 346666320320.

It is an arithmetic number, because the mean of its divisors is an integer number (192642910317).

Almost surely, 2222213111120000 is an apocalyptic number.

222213111120000 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 222213111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554811581712960).

222213111120000 is an abundant number, since it is smaller than the sum of its proper divisors (887410052305920).

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

222213111120000 is a wasteful number, since it uses less digits than its factorization.

222213111120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 222213111120000 its reverse (21111312222), we get a palindrome (222234222432222).

The spelling of 222213111120000 in words is "two hundred twenty-two trillion, two hundred thirteen billion, one hundred eleven million, one hundred twenty thousand".