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2293997760 = 2635529501
BaseRepresentation
bin1000100010111011…
…1010000011000000
312220212120011100000
42020232322003000
514144230412020
61015344200000
7110563442055
oct21056720300
95825504300
102293997760
11a779a151a
12540309000
132a7353132
1417a94902c
15d65d8090
hex88bba0c0

2293997760 has 168 divisors, whose sum is σ = 8182910736. Its totient is φ = 611712000.

The previous prime is 2293997753. The next prime is 2293997777. The reversal of 2293997760 is 677993922.

It is a super-3 number, since 3×22939977603 (a number of 29 digits) contains 333 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 = 2293997697 and 2293997706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63010 + ... + 92510.

It is an arithmetic number, because the mean of its divisors is an integer number (48707802).

Almost surely, 22293997760 is an apocalyptic number.

2293997760 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 2293997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091455368).

2293997760 is an abundant number, since it is smaller than the sum of its proper divisors (5888912976).

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

2293997760 is an equidigital number, since it uses as much as digits as its factorization.

2293997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29533 (or 29511 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 2293997760 is about 47895.6966751711. The cubic root of 2293997760 is about 1318.8568615516.

The spelling of 2293997760 in words is "two billion, two hundred ninety-three million, nine hundred ninety-seven thousand, seven hundred sixty".