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2290994241120 = 25365134143857
BaseRepresentation
bin100001010101101001111…
…001011101111001100000
322010000110022211221000000
4201111221321131321200
5300013424011203440
64512245045300000
7324342654512544
oct41255171357140
98100408757000
102290994241120
11803672583152
12310015404600
13138069677670
147cc5591ba24
153e8d9c23730
hex21569e5de60

2290994241120 has 1344 divisors, whose sum is σ = 9171265207104. Its totient is φ = 536760483840.

The previous prime is 2290994241119. The next prime is 2290994241127. The reversal of 2290994241120 is 211424990922.

It is a happy number.

2290994241120 is a `hidden beast` number, since 2 + 2 + 90 + 99 + 42 + 411 + 20 = 666.

2290994241120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22909942411202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290994241127) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2673271732 + ... + 2673272588.

It is an arithmetic number, because the mean of its divisors is an integer number (6823858041).

Almost surely, 22290994241120 is an apocalyptic number.

2290994241120 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 2290994241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585632603552).

2290994241120 is an abundant number, since it is smaller than the sum of its proper divisors (6880270965984).

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

2290994241120 is a wasteful number, since it uses less digits than its factorization.

2290994241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2290994241120 in words is "two trillion, two hundred ninety billion, nine hundred ninety-four million, two hundred forty-one thousand, one hundred twenty".