Search a number
-
+
221222111000000 = 265611191058479
BaseRepresentation
bin110010010011001101001001…
…010101111011010111000000
31002000021121221021112212001112
4302103031021111323113000
5212444000340404000000
62102300011303422452
764411525065416345
oct6223151125732700
91060247837485045
10221222111000000
1164540852457aa0
122098a3b1454a28
1396592039a4b66
143c8b2c8ba27cc
151a89764d68235
hexc9334957b5c0

221222111000000 has 392 divisors, whose sum is σ = 630118309382400. Its totient is φ = 76210416000000.

The previous prime is 221222110999969. The next prime is 221222111000021. The reversal of 221222111000000 is 111222122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 208470761 + ... + 209529239.

Almost surely, 2221222111000000 is an apocalyptic number.

221222111000000 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 221222111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315059154691200).

221222111000000 is an abundant number, since it is smaller than the sum of its proper divisors (408896198382400).

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

221222111000000 is an equidigital number, since it uses as much as digits as its factorization.

221222111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058551 (or 1058516 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221222111000000 its reverse (111222122), we get a palindrome (221222222222122).

The spelling of 221222111000000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred eleven million", and thus it is an aban number.