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2283261880 = 2354773127131
BaseRepresentation
bin1000100000010111…
…1100111110111000
312220010100201110211
42020011330332320
514134003340010
61014322120504
7110403256114
oct21005747670
95803321424
102283261880
11a71929499
125387b0134
132a5064643
14179352744
15d56b708a
hex8817cfb8

2283261880 has 128 divisors (see below), whose sum is σ = 5401313280. Its totient is φ = 868008960.

The previous prime is 2283261811. The next prime is 2283261881. The reversal of 2283261880 is 881623822.

2283261880 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 2×22832618802 = 10426569625322268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283261881) 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, 17429415 + ... + 17429545.

It is an arithmetic number, because the mean of its divisors is an integer number (42197760).

Almost surely, 22283261880 is an apocalyptic number.

2283261880 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 2283261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700656640).

2283261880 is an abundant number, since it is smaller than the sum of its proper divisors (3118051400).

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

2283261880 is a wasteful number, since it uses less digits than its factorization.

2283261880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 2283261880 is about 47783.4896172308. The cubic root of 2283261880 is about 1316.7962325808.

The spelling of 2283261880 in words is "two billion, two hundred eighty-three million, two hundred sixty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 73 94 127 131 146 188 235 254 262 292 365 376 470 508 524 584 635 655 730 940 1016 1048 1270 1310 1460 1880 2540 2620 2920 3431 5080 5240 5969 6157 6862 9271 9563 11938 12314 13724 16637 17155 18542 19126 23876 24628 27448 29845 30785 33274 34310 37084 38252 46355 47752 47815 49256 59690 61570 66548 68620 74168 76504 83185 92710 95630 119380 123140 133096 137240 166370 185420 191260 238760 246280 332740 370840 382520 435737 449461 665480 781939 871474 898922 1214501 1563878 1742948 1797844 2178685 2247305 2429002 3127756 3485896 3595688 3909695 4357370 4494610 4858004 6072505 6255512 7819390 8714740 8989220 9716008 12145010 15638780 17429480 17978440 24290020 31277560 48580040 57081547 114163094 228326188 285407735 456652376 570815470 1141630940 2283261880