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2221095900672 = 29331153275591
BaseRepresentation
bin100000010100100011101…
…000011101011000000000
321212100000222210022211000
4200110203220131120000
5242342301022310142
64420205105252000
7316316553436455
oct40244350353000
97770028708730
102221095900672
11786a63806440
122ba568634000
131315aa304cbc
147970460982c
153cb984e414c
hex20523a1d600

2221095900672 has 320 divisors, whose sum is σ = 7307641566720. Its totient is φ = 660357734400.

The previous prime is 2221095900671. The next prime is 2221095900689. The reversal of 2221095900672 is 2760095901222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221095900671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7921597 + ... + 8197187.

It is an arithmetic number, because the mean of its divisors is an integer number (22836379896).

Almost surely, 22221095900672 is an apocalyptic number.

2221095900672 is a gapful number since it is divisible by the number (22) 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 2221095900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653820783360).

2221095900672 is an abundant number, since it is smaller than the sum of its proper divisors (5086545666048).

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

2221095900672 is a wasteful number, since it uses less digits than its factorization.

2221095900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275682 (or 275660 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2221095900672 in words is "two trillion, two hundred twenty-one billion, ninety-five million, nine hundred thousand, six hundred seventy-two".