Search a number
-
+
229519152 = 24323494567
BaseRepresentation
bin11011010111000…
…10111100110000
3120222212210002100
431223202330300
5432224103102
634435220400
75454611022
oct1553427460
9528783070
10229519152
11108615155
1264a47700
1338721465
14226a8012
151523aa1c
hexdae2f30

229519152 has 60 divisors (see below), whose sum is σ = 644316400. Its totient is φ = 76270464.

The previous prime is 229519151. The next prime is 229519217. The reversal of 229519152 is 251915922.

It is a happy number.

It is a super-2 number, since 2×2295191522 = 105358082269598208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (229519151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47973 + ... + 52539.

Almost surely, 2229519152 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 229519152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322158200).

229519152 is an abundant number, since it is smaller than the sum of its proper divisors (414797248).

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

229519152 is a wasteful number, since it uses less digits than its factorization.

229519152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4921 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 229519152 is about 15149.8895045475. The cubic root of 229519152 is about 612.2652957199.

The spelling of 229519152 in words is "two hundred twenty-nine million, five hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 1047 1396 2094 2792 3141 4188 4567 5584 6282 8376 9134 12564 13701 16752 18268 25128 27402 36536 41103 50256 54804 73072 82206 109608 164412 219216 328824 657648 1593883 3187766 4781649 6375532 9563298 12751064 14344947 19126596 25502128 28689894 38253192 57379788 76506384 114759576 229519152