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229433472 = 273422129
BaseRepresentation
bin11011010110011…
…10000010000000
3120222201102120000
431223032002000
5432213332342
634433320000
75454103152
oct1553160200
9528642500
10229433472
11108566844
1264a06000
13386c1468
1422684ad2
151522044c
hexdace080

229433472 has 80 divisors (see below), whose sum is σ = 682821150. Its totient is φ = 76474368.

The previous prime is 229433453. The next prime is 229433507. The reversal of 229433472 is 274334922.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 137733696 + 91699776 = 11736^2 + 9576^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 697 + ... + 21432.

Almost surely, 2229433472 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 229433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341410575).

229433472 is an abundant number, since it is smaller than the sum of its proper divisors (453387678).

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

229433472 is an equidigital number, since it uses as much as digits as its factorization.

229433472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22155 (or 22134 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 229433472 is about 15147.0614972014. The cubic root of 229433472 is about 612.1890995810.

The spelling of 229433472 in words is "two hundred twenty-nine million, four hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 22129 44258 66387 88516 132774 177032 199161 265548 354064 398322 531096 597483 708128 796644 1062192 1194966 1416256 1593288 1792449 2124384 2389932 2832512 3186576 3584898 4248768 4779864 6373152 7169796 8497536 9559728 12746304 14339592 19119456 25492608 28679184 38238912 57358368 76477824 114716736 229433472