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2231424000 = 210325313149
BaseRepresentation
bin1000010100000000…
…1101010000000000
312202111211002021100
42011000031100000
514032221032000
61005231054400
7106203535221
oct20500152000
95674732240
102231424000
11a45642973
12523371400
132973b4840
141724db248
15d0d77a00
hex8500d400

2231424000 has 528 divisors, whose sum is σ = 8717763600. Its totient is φ = 545587200.

The previous prime is 2231423963. The next prime is 2231424017. The reversal of 2231424000 is 4241322.

2231424000 is a `hidden beast` number, since 223 + 1 + 42 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1617970176 + 613453824 = 40224^2 + 24768^2 .

It is a super-3 number, since 3×22314240003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14975926 + ... + 14976074.

Almost surely, 22231424000 is an apocalyptic number.

2231424000 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 2231424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358881800).

2231424000 is an abundant number, since it is smaller than the sum of its proper divisors (6486339600).

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

2231424000 is a wasteful number, since it uses less digits than its factorization.

2231424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2231424000 is about 47237.9508446334. The cubic root of 2231424000 is about 1306.7545870777.

Adding to 2231424000 its reverse (4241322), we get a palindrome (2235665322).

The spelling of 2231424000 in words is "two billion, two hundred thirty-one million, four hundred twenty-four thousand".