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2212793880 = 2335113745307
BaseRepresentation
bin1000001111100100…
…1000111000011000
312201012202120112220
42003321020320120
514012433401010
61003323504040
7105556303053
oct20371107030
95635676486
102212793880
11a36078880
12519088020
13293590abb
1416dc4ba9a
15ce3e7970
hex83e48e18

2212793880 has 128 divisors (see below), whose sum is σ = 7437761280. Its totient is φ = 521925120.

The previous prime is 2212793819. The next prime is 2212793897. The reversal of 2212793880 is 883972122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26187 + ... + 71493.

It is an arithmetic number, because the mean of its divisors is an integer number (58107510).

Almost surely, 22212793880 is an apocalyptic number.

2212793880 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 2212793880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718880640).

2212793880 is an abundant number, since it is smaller than the sum of its proper divisors (5224967400).

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

2212793880 is a wasteful number, since it uses less digits than its factorization.

2212793880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45369 (or 45365 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2212793880 is about 47040.3431109936. The cubic root of 2212793880 is about 1303.1077285751.

The spelling of 2212793880 in words is "two billion, two hundred twelve million, seven hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 45307 48840 90614 135921 181228 226535 271842 362456 453070 498377 543684 679605 906140 996754 1087368 1359210 1495131 1676359 1812280 1993508 2491885 2718420 2990262 3352718 3987016 4983770 5029077 5436840 5980524 6705436 7475655 8381795 9967540 10058154 11961048 13410872 14951310 16763590 18439949 19935080 20116308 25145385 29902620 33527180 36879898 40232616 50290770 55319847 59805240 67054360 73759796 92199745 100581540 110639694 147519592 184399490 201163080 221279388 276599235 368798980 442558776 553198470 737597960 1106396940 2212793880