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9225700262352 = 24327227145327749
BaseRepresentation
bin1000011001000000011010…
…0101100100000111010000
31012122222010220200010000100
42012100012211210013100
52202123213231343402
631342121142252400
71641351311226660
oct206200645440720
935588126603010
109225700262352
112a37663314872
121050004427100
1351bc97816ca2
1423c7521561a0
1510eead04871c
hex864069641d0

9225700262352 has 240 divisors, whose sum is σ = 29659052592000. Its totient is φ = 2622401768448.

The previous prime is 9225700262333. The next prime is 9225700262407. The reversal of 9225700262352 is 2532620075229.

9225700262352 is a `hidden beast` number, since 9 + 2 + 2 + 570 + 0 + 2 + 6 + 23 + 52 = 666.

It is a super-2 number, since 2×92257002623522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9225700262298 and 9225700262307.

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, 332455774 + ... + 332483522.

It is an arithmetic number, because the mean of its divisors is an integer number (123579385800).

Almost surely, 29225700262352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9225700262352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829526296000).

9225700262352 is an abundant number, since it is smaller than the sum of its proper divisors (20433352329648).

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

9225700262352 is a wasteful number, since it uses less digits than its factorization.

9225700262352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29450 (or 29441 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 9225700262352 in words is "nine trillion, two hundred twenty-five billion, seven hundred million, two hundred sixty-two thousand, three hundred fifty-two".