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2292242374656 = 2133513101877
BaseRepresentation
bin100001010110110100010…
…010101110000000000000
322010010200022102200100000
4201112310102232000000
5300024003021442111
64513012553200000
7324415621463043
oct41266422560000
98103608380300
102292242374656
11804153075373
12310303400000
13138208122810
147cd335bac5a
153e95e5bac56
hex215b44ae000

2292242374656 has 672 divisors, whose sum is σ = 7476830551008. Its totient is φ = 697525862400.

The previous prime is 2292242374621. The next prime is 2292242374661. The reversal of 2292242374656 is 6564732422922.

2292242374656 is a `hidden beast` number, since 2 + 2 + 92 + 2 + 423 + 74 + 65 + 6 = 666.

It is a super-2 number, since 2×22922423746562 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2613730890 + ... + 2613731766.

It is an arithmetic number, because the mean of its divisors is an integer number (11126235939).

Almost surely, 22292242374656 is an apocalyptic number.

2292242374656 is a gapful number since it is divisible by the number (26) 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 2292242374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738415275504).

2292242374656 is an abundant number, since it is smaller than the sum of its proper divisors (5184588176352).

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

2292242374656 is an equidigital number, since it uses as much as digits as its factorization.

2292242374656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 996 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 2292242374656 in words is "two trillion, two hundred ninety-two billion, two hundred forty-two million, three hundred seventy-four thousand, six hundred fifty-six".