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228143844 = 22334167769
BaseRepresentation
bin11011001100100…
…11001011100100
3120220021220112000
431212103023210
5431401100334
634345525300
75440122255
oct1546231344
9526256460
10228143844
11107865935
12644a3830
133835c476
142242ab2c
1515068299
hexd9932e4

228143844 has 96 divisors (see below), whose sum is σ = 615753600. Its totient is φ = 72990720.

The previous prime is 228143833. The next prime is 228143857. The reversal of 228143844 is 448341822.

228143844 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 2×2281438442 = 104099227110192672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 228143799 and 228143808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296292 + ... + 297060.

It is an arithmetic number, because the mean of its divisors is an integer number (6414100).

Almost surely, 2228143844 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 228143844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307876800).

228143844 is an abundant number, since it is smaller than the sum of its proper divisors (387609756).

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

228143844 is a wasteful number, since it uses less digits than its factorization.

228143844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 228143844 is about 15104.4312703259. The cubic root of 228143844 is about 611.0399210319.

The spelling of 228143844 in words is "two hundred twenty-eight million, one hundred forty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 67 82 108 123 134 164 201 246 268 369 402 492 603 738 769 804 1107 1206 1476 1538 1809 2214 2307 2412 2747 3076 3618 4428 4614 5494 6921 7236 8241 9228 10988 13842 16482 20763 24723 27684 31529 32964 41526 49446 51523 63058 74169 83052 94587 98892 103046 126116 148338 154569 189174 206092 283761 296676 309138 378348 463707 567522 618276 851283 927414 1135044 1391121 1702566 1854828 2112443 2782242 3405132 4224886 5564484 6337329 8449772 12674658 19011987 25349316 38023974 57035961 76047948 114071922 228143844