Search a number
-
+
229343400 = 23365211213
BaseRepresentation
bin11011010101110…
…00000010101000
3120222112212000000
431222320002220
5432202442100
634431343000
75453246436
oct1552700250
9528485000
10229343400
11108505100
1264981a60
133868c470
142265dd56
1515203900
hexdab80a8

229343400 has 504 divisors, whose sum is σ = 946352190. Its totient is φ = 51321600.

The previous prime is 229343383. The next prime is 229343407. The reversal of 229343400 is 4343922.

It is a happy number.

229343400 is a `hidden beast` number, since 229 + 3 + 434 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 127373796 + 101969604 = 11286^2 + 10098^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (229343407) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 17641794 + ... + 17641806.

Almost surely, 2229343400 is an apocalyptic number.

229343400 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 229343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473176095).

229343400 is an abundant number, since it is smaller than the sum of its proper divisors (717008790).

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

229343400 is a wasteful number, since it uses less digits than its factorization.

229343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 229343400 is about 15144.0879553706. The cubic root of 229343400 is about 612.1089771334.

The spelling of 229343400 in words is "two hundred twenty-nine million, three hundred forty-three thousand, four hundred".