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2145104060022 = 232721117223293137
BaseRepresentation
bin11111001101110010001…
…010100101111001110110
321121001212222201211210100
4133031302022211321312
5240121133114410042
64321240332334530
7310656451443600
oct37156212457166
97531788654710
102145104060022
11757808356850
122a789b014446
131273896ba711
1475b75d0a170
153abebd5d24c
hex1f3722a5e76

2145104060022 has 1728 divisors, whose sum is σ = 7170099056640. Its totient is φ = 456009523200.

The previous prime is 2145104060009. The next prime is 2145104060063. The reversal of 2145104060022 is 2200604015412.

2145104060022 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 10 + 40 + 600 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 57975785388 + ... + 57975785424.

It is an arithmetic number, because the mean of its divisors is an integer number (4149362880).

Almost surely, 22145104060022 is an apocalyptic number.

2145104060022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145104060022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585049528320).

2145104060022 is an abundant number, since it is smaller than the sum of its proper divisors (5024994996618).

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

2145104060022 is a wasteful number, since it uses less digits than its factorization.

2145104060022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2145104060022 its reverse (2200604015412), we get a palindrome (4345708075434).

The spelling of 2145104060022 in words is "two trillion, one hundred forty-five billion, one hundred four million, sixty thousand, twenty-two".