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2245110913080 = 233557233146279
BaseRepresentation
bin100000101010111011000…
…010011101100000111000
321221122000122021100200000
4200222323002131200320
5243240441343204310
64435220102313000
7321126640614060
oct40527302354070
97848018240600
102245110913080
11796167642732
1230314b128760
13133936759509
147a941c323a0
153d60199d4c0
hex20abb09d838

2245110913080 has 768 divisors, whose sum is σ = 9315119923200. Its totient is φ = 475012200960.

The previous prime is 2245110913079. The next prime is 2245110913081. The reversal of 2245110913080 is 803190115422.

2245110913080 is a `hidden beast` number, since 2 + 2 + 4 + 511 + 0 + 9 + 130 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2245110913079) and next prime (2245110913081).

It is a super-2 number, since 2×22451109130802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245110913081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48489381 + ... + 48535659.

It is an arithmetic number, because the mean of its divisors is an integer number (12129062400).

Almost surely, 22245110913080 is an apocalyptic number.

2245110913080 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 2245110913080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657559961600).

2245110913080 is an abundant number, since it is smaller than the sum of its proper divisors (7070009010120).

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

2245110913080 is a wasteful number, since it uses less digits than its factorization.

2245110913080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46366 (or 46350 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2245110913080 in words is "two trillion, two hundred forty-five billion, one hundred ten million, nine hundred thirteen thousand, eighty".