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2226334140 = 2233513213121
BaseRepresentation
bin1000010010110011…
…0010100110111100
312202011020111022000
42010230302212330
514024420143030
61004530022300
7106112346042
oct20454624674
95664214260
102226334140
11a42786878
12521717990
13296321ba4
14171974392
15d06be860
hex84b329bc

2226334140 has 96 divisors (see below), whose sum is σ = 6933837120. Its totient is φ = 593049600.

The previous prime is 2226334091. The next prime is 2226334163. The reversal of 2226334140 is 414336222.

2226334140 is a `hidden beast` number, since 2 + 22 + 633 + 4 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 711780 + ... + 714900.

It is an arithmetic number, because the mean of its divisors is an integer number (72227470).

Almost surely, 22226334140 is an apocalyptic number.

2226334140 is a gapful number since it is divisible by the number (20) 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 2226334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466918560).

2226334140 is an abundant number, since it is smaller than the sum of its proper divisors (4707502980).

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

2226334140 is a wasteful number, since it uses less digits than its factorization.

2226334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2226334140 is about 47184.0453967228. The cubic root of 2226334140 is about 1305.7602651514.

The spelling of 2226334140 in words is "two billion, two hundred twenty-six million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1321 2642 3121 3963 5284 6242 6605 7926 9363 11889 12484 13210 15605 15852 18726 19815 23778 26420 28089 31210 35667 37452 39630 46815 47556 56178 59445 62420 71334 79260 84267 93630 112356 118890 140445 142668 168534 178335 187260 237780 280890 337068 356670 421335 561780 713340 842670 1685340 4122841 8245682 12368523 16491364 20614205 24737046 37105569 41228410 49474092 61842615 74211138 82456820 111316707 123685230 148422276 185527845 222633414 247370460 371055690 445266828 556583535 742111380 1113167070 2226334140