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228162432 = 2733671619
BaseRepresentation
bin11011001100101…
…11101110000000
3120220022212000110
431212113232000
5431402144212
634350151320
75440230411
oct1546275600
9526285013
10228162432
111078788a3
12644b2540
1338367a74
1422433808
151506da3c
hexd997b80

228162432 has 64 divisors (see below), whose sum is σ = 608083200. Its totient is φ = 75800064.

The previous prime is 228162421. The next prime is 228162437. The reversal of 228162432 is 234261822.

228162432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 228162432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228162437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140119 + ... + 141737.

It is an arithmetic number, because the mean of its divisors is an integer number (9501300).

Almost surely, 2228162432 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 228162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304041600).

228162432 is an abundant number, since it is smaller than the sum of its proper divisors (379920768).

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

228162432 is a wasteful number, since it uses less digits than its factorization.

228162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1991 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 228162432 is about 15105.0465739103. The cubic root of 228162432 is about 611.0565153896.

The spelling of 228162432 in words is "two hundred twenty-eight million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 367 384 734 1101 1468 1619 2202 2936 3238 4404 4857 5872 6476 8808 9714 11744 12952 17616 19428 23488 25904 35232 38856 46976 51808 70464 77712 103616 140928 155424 207232 310848 594173 621696 1188346 1782519 2376692 3565038 4753384 7130076 9506768 14260152 19013536 28520304 38027072 57040608 76054144 114081216 228162432