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2230043200 = 265271123787
BaseRepresentation
bin1000010011101011…
…1100001001000000
312202102012221011121
42010322330021000
514031342340300
61005141322024
7106156024450
oct20472741100
95672187147
102230043200
11a4488a510
12522a06314
132970201b8
1417225bd60
15d0ba381a
hex84ebc240

2230043200 has 336 divisors, whose sum is σ = 7147828224. Its totient is φ = 664012800.

The previous prime is 2230043149. The next prime is 2230043203. The reversal of 2230043200 is 23400322.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2230043203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2833207 + ... + 2833993.

Almost surely, 22230043200 is an apocalyptic number.

2230043200 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 2230043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573914112).

2230043200 is an abundant number, since it is smaller than the sum of its proper divisors (4917785024).

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

2230043200 is a wasteful number, since it uses less digits than its factorization.

2230043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2230043200 is about 47223.3332156890. Note that the first 3 decimals coincide. The cubic root of 2230043200 is about 1306.4849925585.

Adding to 2230043200 its reverse (23400322), we get a palindrome (2253443522).

The spelling of 2230043200 in words is "two billion, two hundred thirty million, forty-three thousand, two hundred".