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2280422400 = 210352231291
BaseRepresentation
bin1000011111101100…
…0111110000000000
312212221000110102220
42013323013300000
514132242004100
61014141211040
7110340161544
oct20773076000
95787013386
102280422400
11a7026a113
12537860a80
132a45ac089
14178c13a24
15d5305aa0
hex87ec7c00

2280422400 has 264 divisors, whose sum is σ = 7870698624. Its totient is φ = 581222400.

The previous prime is 2280422387. The next prime is 2280422401. The reversal of 2280422400 is 42240822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280422401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765755 + ... + 1767045.

Almost surely, 22280422400 is an apocalyptic number.

2280422400 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 2280422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935349312).

2280422400 is an abundant number, since it is smaller than the sum of its proper divisors (5590276224).

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

2280422400 is a wasteful number, since it uses less digits than its factorization.

2280422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2280422400 is about 47753.7684376846. The cubic root of 2280422400 is about 1316.2501472300.

It can be divided in two parts, 2280422 and 400, that added together give a palindrome (2280822).

The spelling of 2280422400 in words is "two billion, two hundred eighty million, four hundred twenty-two thousand, four hundred".