Search a number
-
+
229333248 = 283333179
BaseRepresentation
bin11011010101101…
…01100100000000
3120222112100002000
431222311210000
5432202130443
634431224000
75453205024
oct1552654400
9528470060
10229333248
111084a8511
1264978000
1338687961
142265a384
15152008d3
hexdab5900

229333248 has 72 divisors (see below), whose sum is σ = 678199200. Its totient is φ = 76442112.

The previous prime is 229333241. The next prime is 229333261. The reversal of 229333248 is 842333922.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is not an unprimeable number, because it can be changed into a prime (229333241) 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, 9678 + ... + 23501.

Almost surely, 2229333248 is an apocalyptic number.

It is an amenable number.

229333248 is an abundant number, since it is smaller than the sum of its proper divisors (448865952).

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

229333248 is an equidigital number, since it uses as much as digits as its factorization.

229333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33204 (or 33184 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 229333248 is about 15143.7527713576. The cubic root of 229333248 is about 612.0999452304.

The spelling of 229333248 in words is "two hundred twenty-nine million, three hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 33179 66358 99537 132716 199074 265432 298611 398148 530864 597222 796296 895833 1061728 1194444 1592592 1791666 2123456 2388888 3185184 3583332 4246912 4777776 6370368 7166664 8493824 9555552 12740736 14333328 19111104 25481472 28666656 38222208 57333312 76444416 114666624 229333248