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229733280 = 25335771107
BaseRepresentation
bin11011011000101…
…11001110100000
3121000021122211000
431230113032200
5432302431110
634443552000
75456462220
oct1554271640
9530248730
10229733280
11108751017
1264b2b600
1338797a6a
1422722080
151527e1c0
hexdb173a0

229733280 has 384 divisors, whose sum is σ = 940584960. Its totient is φ = 51287040.

The previous prime is 229733279. The next prime is 229733299. The reversal of 229733280 is 82337922.

229733280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146987 + ... + 2147093.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2229733280 is an apocalyptic number.

229733280 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 229733280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470292480).

229733280 is an abundant number, since it is smaller than the sum of its proper divisors (710851680).

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

229733280 is a wasteful number, since it uses less digits than its factorization.

229733280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 229733280 is about 15156.9548392809. The cubic root of 229733280 is about 612.4556391584.

The spelling of 229733280 in words is "two hundred twenty-nine million, seven hundred thirty-three thousand, two hundred eighty".