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2230131200 = 29521147337
BaseRepresentation
bin1000010011101101…
…0001101000000000
312202102101101212212
42010323101220000
514031403144300
61005143241252
7106156542143
oct20473215000
95672341785
102230131200
11a4493a640
12522a49228
1329705127b
1417228205a
15d0bbe935
hex84ed1a00

2230131200 has 240 divisors, whose sum is σ = 6174140544. Its totient is φ = 791347200.

The previous prime is 2230131199. The next prime is 2230131259. The reversal of 2230131200 is 21310322.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6617432 + ... + 6617768.

Almost surely, 22230131200 is an apocalyptic number.

2230131200 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 2230131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087070272).

2230131200 is an abundant number, since it is smaller than the sum of its proper divisors (3944009344).

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

2230131200 is a wasteful number, since it uses less digits than its factorization.

2230131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2230131200 is about 47224.2649492822. The cubic root of 2230131200 is about 1306.5021774524.

Adding to 2230131200 its reverse (21310322), we get a palindrome (2251441522).

The spelling of 2230131200 in words is "two billion, two hundred thirty million, one hundred thirty-one thousand, two hundred".