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2322142352640 = 283351119595449
BaseRepresentation
bin100001110010101010011…
…110000101010100000000
322012222212002111221022000
4201302222132011110000
5301021221420241030
64534435533344000
7326524565215365
oct41625236052400
98188762457260
102322142352640
118158a6902380
12316068938000
1313ac91867096
148056c62a46c
154060e538860
hex21caa785500

2322142352640 has 1152 divisors, whose sum is σ = 9624787200000. Its totient is φ = 524179537920.

The previous prime is 2322142352623. The next prime is 2322142352669. The reversal of 2322142352640 is 462532412232.

2322142352640 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 1 + 4 + 2 + 3 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×23221423526402 (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 junction number, because it is equal to n+sod(n) for n = 2322142352595 and 2322142352604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 426156636 + ... + 426162084.

It is an arithmetic number, because the mean of its divisors is an integer number (8354850000).

Almost surely, 22322142352640 is an apocalyptic number.

2322142352640 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 2322142352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812393600000).

2322142352640 is an abundant number, since it is smaller than the sum of its proper divisors (7302644847360).

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

2322142352640 is a wasteful number, since it uses less digits than its factorization.

2322142352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2322142352640 its reverse (462532412232), we get a palindrome (2784674764872).

The spelling of 2322142352640 in words is "two trillion, three hundred twenty-two billion, one hundred forty-two million, three hundred fifty-two thousand, six hundred forty".