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228243264 = 2634872441
BaseRepresentation
bin11011001101010…
…11011101000000
3120220110221220020
431212223131000
5431412241024
634352013440
75441015154
oct1546533500
9526427806
10228243264
111079235a7
1264531280
13383957b2
1422455064
1515087979
hexd9ab740

228243264 has 56 divisors (see below), whose sum is σ = 605381568. Its totient is φ = 75893760.

The previous prime is 228243247. The next prime is 228243271. The reversal of 228243264 is 462342822.

228243264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2282432642 = 104189975122747392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92284 + ... + 94724.

Almost surely, 2228243264 is an apocalyptic number.

228243264 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 228243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302690784).

228243264 is an abundant number, since it is smaller than the sum of its proper divisors (377138304).

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

228243264 is a wasteful number, since it uses less digits than its factorization.

228243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2933 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 228243264 is about 15107.7219990308. The cubic root of 228243264 is about 611.1286673328.

The spelling of 228243264 in words is "two hundred twenty-eight million, two hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 487 974 1461 1948 2441 2922 3896 4882 5844 7323 7792 9764 11688 14646 15584 19528 23376 29292 31168 39056 46752 58584 78112 93504 117168 156224 234336 468672 1188767 2377534 3566301 4755068 7132602 9510136 14265204 19020272 28530408 38040544 57060816 76081088 114121632 228243264