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2322256640 = 285112371101
BaseRepresentation
bin1000101001101010…
…1101001100000000
312222211201212020012
42022122231030000
514223444203030
61022234004052
7111355566344
oct21232551400
95884655205
102322256640
11a91942870
12549876628
132b0168772
141805c3624
15d8d1b095
hex8a6ad300

2322256640 has 288 divisors, whose sum is σ = 6484810752. Its totient is φ = 788480000.

The previous prime is 2322256621. The next prime is 2322256681. The reversal of 2322256640 is 466522232.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2322256597 and 2322256606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22992590 + ... + 22992690.

It is an arithmetic number, because the mean of its divisors is an integer number (22516704).

Almost surely, 22322256640 is an apocalyptic number.

2322256640 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 2322256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242405376).

2322256640 is an abundant number, since it is smaller than the sum of its proper divisors (4162554112).

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

2322256640 is a wasteful number, since it uses less digits than its factorization.

2322256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2322256640 is about 48189.7980904672. The cubic root of 2322256640 is about 1324.2502729058.

Adding to 2322256640 its reverse (466522232), we get a palindrome (2788778872).

The spelling of 2322256640 in words is "two billion, three hundred twenty-two million, two hundred fifty-six thousand, six hundred forty".