Search a number
-
+
222213120000 = 213354172337
BaseRepresentation
bin1100111011110011101…
…1110010000000000000
3210020120102012002122120
43032330323302000000
512120043024320000
6250025554204240
722024435232544
oct3167473620000
9706512162576
10222213120000
1186270571013
1237096883680
1317c54370171
14aa8029ba24
155ba864e6a0
hex33bcef2000

222213120000 has 1120 divisors, whose sum is σ = 840178956672. Its totient is φ = 51904512000.

The previous prime is 222213119971. The next prime is 222213120083. The reversal of 222213120000 is 21312222.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6005759982 + ... + 6005760018.

Almost surely, 2222213120000 is an apocalyptic number.

222213120000 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 222213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420089478336).

222213120000 is an abundant number, since it is smaller than the sum of its proper divisors (617965836672).

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

222213120000 is an equidigital number, since it uses as much as digits as its factorization.

222213120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 222213120000 its reverse (21312222), we get a palindrome (222234432222).

The spelling of 222213120000 in words is "two hundred twenty-two billion, two hundred thirteen million, one hundred twenty thousand".