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229094400 = 21035219157
BaseRepresentation
bin11011010011110…
…11010000000000
3120222002012102210
431221323100000
5432122010100
634422142120
75451161463
oct1551732000
9528065383
10229094400
11108355017
1264881940
1338603022
14225d72da
15151a4c50
hexda7b400

229094400 has 264 divisors, whose sum is σ = 802096480. Its totient is φ = 57507840.

The previous prime is 229094387. The next prime is 229094401. The reversal of 229094400 is 4490922.

It is a super-2 number, since 2×2290944002 = 104968488222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229094401) 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, 1459122 + ... + 1459278.

Almost surely, 2229094400 is an apocalyptic number.

229094400 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 229094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401048240).

229094400 is an abundant number, since it is smaller than the sum of its proper divisors (573002080).

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

229094400 is a wasteful number, since it uses less digits than its factorization.

229094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 229094400 is about 15135.8646928413. The cubic root of 229094400 is about 611.8873730119.

The spelling of 229094400 in words is "two hundred twenty-nine million, ninety-four thousand, four hundred".