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2221231320000 = 263254711227353
BaseRepresentation
bin100000010100101011101…
…101000010101111000000
321212100101102121100012200
4200110223231002233000
5242343040204220000
64420230343553200
7316323116461140
oct40245355025700
97770342540180
102221231320000
11787023199a40
122ba5a5a5b800
131315cc39a394
14797185ba920
153cba5343500
hex2052bb42bc0

2221231320000 has 1680 divisors, whose sum is σ = 9990965267712. Its totient is φ = 458219520000.

The previous prime is 2221231319971. The next prime is 2221231320047. The reversal of 2221231320000 is 231321222.

2221231320000 is a `hidden beast` number, since 222 + 123 + 1 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6292439824 + ... + 6292440176.

Almost surely, 22221231320000 is an apocalyptic number.

2221231320000 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 2221231320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995482633856).

2221231320000 is an abundant number, since it is smaller than the sum of its proper divisors (7769733947712).

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

2221231320000 is a wasteful number, since it uses less digits than its factorization.

2221231320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 608 counting only the distinct ones).

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

Adding to 2221231320000 its reverse (231321222), we get a palindrome (2221462641222).

The spelling of 2221231320000 in words is "two trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred twenty thousand".