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2291194219104 = 2534734096301
BaseRepresentation
bin100001010101110101110…
…100010100101001100000
322010000222021010212020000
4201111311310110221200
5300014331210002404
64512320551420000
7324350633346000
oct41256564245140
98100867125200
102291194219104
1180376545060a
12310070384600
1313809bc2492b
147cc742d6000
153e8ec576339
hex21575d14a60

2291194219104 has 480 divisors, whose sum is σ = 7878583944000. Its totient is φ = 652922726400.

The previous prime is 2291194219079. The next prime is 2291194219141. The reversal of 2291194219104 is 4019124911922.

It is a happy number.

2291194219104 is a `hidden beast` number, since 2 + 2 + 9 + 119 + 421 + 9 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2291194219104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 363620754 + ... + 363627054.

It is an arithmetic number, because the mean of its divisors is an integer number (16413716550).

Almost surely, 22291194219104 is an apocalyptic number.

2291194219104 is a gapful number since it is divisible by the number (24) 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 2291194219104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939291972000).

2291194219104 is an abundant number, since it is smaller than the sum of its proper divisors (5587389724896).

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

2291194219104 is an equidigital number, since it uses as much as digits as its factorization.

2291194219104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 2291194219104 in words is "two trillion, two hundred ninety-one billion, one hundred ninety-four million, two hundred nineteen thousand, one hundred four".