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2290423983300 = 2235521937134077
BaseRepresentation
bin100001010101000111111…
…010000110110011000100
322002221222120210211100000
4201111013322012303010
5300011242014431200
64512112314521300
7324322561426365
oct41250772066304
98087876724300
102290423983300
118033aa699aa2
1230ba96436230
13137ca84935bb
147cbddcb7b6c
153e8a4b2d300
hex21547e86cc4

2290423983300 has 432 divisors, whose sum is σ = 8048820328640. Its totient is φ = 562990487040.

The previous prime is 2290423983259. The next prime is 2290423983311. The reversal of 2290423983300 is 33893240922.

2290423983300 is a `hidden beast` number, since 2 + 290 + 4 + 23 + 9 + 8 + 330 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17015862 + ... + 17149938.

Almost surely, 22290423983300 is an apocalyptic number.

2290423983300 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 2290423983300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024410164320).

2290423983300 is an abundant number, since it is smaller than the sum of its proper divisors (5758396345340).

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

2290423983300 is a wasteful number, since it uses less digits than its factorization.

2290423983300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134162 (or 134143 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

It can be divided in two parts, 2290423 and 983300, that added together give a palindrome (3273723).

The spelling of 2290423983300 in words is "two trillion, two hundred ninety billion, four hundred twenty-three million, nine hundred eighty-three thousand, three hundred".