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3228322284 = 2233115415023
BaseRepresentation
bin1100000001101100…
…0100100111101100
322022222122202122000
43000123010213230
523102422303114
61252202052300
7143000200215
oct30033044754
98288582560
103228322284
111407338350
127611aa090
133c5aa6c95
14228a7c40c
1513d644e09
hexc06c49ec

3228322284 has 96 divisors (see below), whose sum is σ = 9149306880. Its totient is φ = 976276800.

The previous prime is 3228322283. The next prime is 3228322291. The reversal of 3228322284 is 4822238223.

3228322284 is a `hidden beast` number, since 32 + 28 + 322 + 284 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3228322283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640197 + ... + 645219.

It is an arithmetic number, because the mean of its divisors is an integer number (95305280).

Almost surely, 23228322284 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 3228322284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574653440).

3228322284 is an abundant number, since it is smaller than the sum of its proper divisors (5920984596).

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

3228322284 is a wasteful number, since it uses less digits than its factorization.

3228322284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5580 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3228322284 is about 56818.3270081054. The cubic root of 3228322284 is about 1477.9473437367.

The spelling of 3228322284 in words is "three billion, two hundred twenty-eight million, three hundred twenty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 541 594 1082 1188 1623 2164 3246 4869 5023 5951 6492 9738 10046 11902 14607 15069 17853 19476 20092 23804 29214 30138 35706 45207 53559 55253 58428 60276 71412 90414 107118 110506 135621 160677 165759 180828 214236 221012 271242 321354 331518 497277 542484 642708 663036 994554 1491831 1989108 2717443 2983662 5434886 5967324 8152329 10869772 16304658 24456987 29891873 32609316 48913974 59783746 73370961 89675619 97827948 119567492 146741922 179351238 269026857 293483844 358702476 538053714 807080571 1076107428 1614161142 3228322284