Search a number
-
+
229514688 = 26331317601
BaseRepresentation
bin11011010111000…
…01110111000000
3120222212112222000
431223201313000
5432223432223
634435144000
75454562014
oct1553416700
9528775860
10229514688
11108611867
1264a45000
133871c410
14226a6544
1515239543
hexdae1dc0

229514688 has 224 divisors, whose sum is σ = 770656320. Its totient is φ = 66355200.

The previous prime is 229514687. The next prime is 229514711. The reversal of 229514688 is 886415922.

229514688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229514687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381588 + ... + 382188.

It is an arithmetic number, because the mean of its divisors is an integer number (3440430).

Almost surely, 2229514688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229514688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385328160).

229514688 is an abundant number, since it is smaller than the sum of its proper divisors (541141632).

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

229514688 is a wasteful number, since it uses less digits than its factorization.

229514688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 229514688 is about 15149.7421760240. The cubic root of 229514688 is about 612.2613263053.

The spelling of 229514688 in words is "two hundred twenty-nine million, five hundred fourteen thousand, six hundred eighty-eight".