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2290046306100 = 22352722329323117
BaseRepresentation
bin100001010100110001011…
…001011000011100110100
322002221000021010211121120
4201110301121120130310
5300010003323243400
64512011023543540
7324310324266600
oct41246131303464
98087007124546
102290046306100
11803226490583
1230b9aba5abb0
13137c48169777
147cba5a84500
153e8818c8ca0
hex21531658734

2290046306100 has 432 divisors, whose sum is σ = 8070555201408. Its totient is φ = 498950538240.

The previous prime is 2290046306081. The next prime is 2290046306101. The reversal of 2290046306100 is 16036400922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290046306101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99051742 + ... + 99074858.

It is an arithmetic number, because the mean of its divisors is an integer number (18681840744).

Almost surely, 22290046306100 is an apocalyptic number.

2290046306100 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 2290046306100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035277600704).

2290046306100 is an abundant number, since it is smaller than the sum of its proper divisors (5780508895308).

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

2290046306100 is a wasteful number, since it uses less digits than its factorization.

2290046306100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23464 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 2290046306100 in words is "two trillion, two hundred ninety billion, forty-six million, three hundred six thousand, one hundred".