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2242493890560 = 2143557211219
BaseRepresentation
bin100000101000011111000…
…011010100000000000000
321221101021020212211200000
4200220133003110000000
5243220111413444220
64434104254400000
7321005042364600
oct40503703240000
97841236784600
102242493890560
11795044380a00
1230273a800000
1313360a506491
147a77443cc00
153d4ebd59390
hex20a1f0d4000

2242493890560 has 3240 divisors, whose sum is σ = 10850401467360. Its totient is φ = 441447874560.

The previous prime is 2242493890537. The next prime is 2242493890561. The reversal of 2242493890560 is 650983942422.

2242493890560 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 49 + 38 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×22424938905602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2242493890497 and 2242493890506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242493890561) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 118025994231 + ... + 118025994249.

Almost surely, 22242493890560 is an apocalyptic number.

2242493890560 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 2242493890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425200733680).

2242493890560 is an abundant number, since it is smaller than the sum of its proper divisors (8607907576800).

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

2242493890560 is an equidigital number, since it uses as much as digits as its factorization.

2242493890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2242493890560 in words is "two trillion, two hundred forty-two billion, four hundred ninety-three million, eight hundred ninety thousand, five hundred sixty".