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229683024 = 24323374733
BaseRepresentation
bin11011011000010…
…10111101010000
3121000012002212200
431230022331100
5432244324044
634442523200
75456162544
oct1554127520
9530162780
10229683024
1110871728a
1264b06500
133877ac1c
142270ba24
151526e369
hexdb0af50

229683024 has 60 divisors (see below), whose sum is σ = 644837076. Its totient is φ = 76317696.

The previous prime is 229683023. The next prime is 229683029. The reversal of 229683024 is 420386922.

229683024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50979600 + 178703424 = 7140^2 + 13368^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 229683024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229683023) 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, 46162 + ... + 50894.

Almost surely, 2229683024 is an apocalyptic number.

229683024 is a gapful number since it is divisible by the number (24) 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 229683024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322418538).

229683024 is an abundant number, since it is smaller than the sum of its proper divisors (415154052).

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

229683024 is a wasteful number, since it uses less digits than its factorization.

229683024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 229683024 is about 15155.2968958051. The cubic root of 229683024 is about 612.4109760382.

The spelling of 229683024 in words is "two hundred twenty-nine million, six hundred eighty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 3033 4044 4733 5392 6066 8088 9466 12132 14199 16176 18932 24264 28398 37864 42597 48528 56796 75728 85194 113592 170388 227184 340776 681552 1595021 3190042 4785063 6380084 9570126 12760168 14355189 19140252 25520336 28710378 38280504 57420756 76561008 114841512 229683024