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2297269298688 = 293721323313789
BaseRepresentation
bin100001011011011111111…
…010111010011000000000
322010121122122110212201120
4201123133322322120000
5300114301420024223
64515203445432240
7324654321565200
oct41333772723000
98117578425646
102297269298688
118062a26a1841
12311286a0b680
1313882971a290
147d28d08a400
153eb55a8ebe3
hex216dfeba600

2297269298688 has 1920 divisors, whose sum is σ = 8576811048960. Its totient is φ = 539547402240.

The previous prime is 2297269298659. The next prime is 2297269298689. The reversal of 2297269298688 is 8868929627922.

2297269298688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297269298689) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25812014548 + ... + 25812014636.

It is an arithmetic number, because the mean of its divisors is an integer number (4467089088).

Almost surely, 22297269298688 is an apocalyptic number.

2297269298688 is a gapful number since it is divisible by the number (28) 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 2297269298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288405524480).

2297269298688 is an abundant number, since it is smaller than the sum of its proper divisors (6279541750272).

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

2297269298688 is a wasteful number, since it uses less digits than its factorization.

2297269298688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 78.

The spelling of 2297269298688 in words is "two trillion, two hundred ninety-seven billion, two hundred sixty-nine million, two hundred ninety-eight thousand, six hundred eighty-eight".