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2084982228 = 223374758679
BaseRepresentation
bin111110001000110…
…0100110111010100
312101022021001221000
41330101210313110
513232223412403
6542520223300
7102445025250
oct17421446724
95338231830
102084982228
1197aa1100a
124a230ab30
13272c603c4
1415ac9b260
15c309c7a3
hex7c464dd4

2084982228 has 96 divisors (see below), whose sum is σ = 6309273600. Its totient is φ = 583024608.

The previous prime is 2084982209. The next prime is 2084982239. The reversal of 2084982228 is 8222894802.

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, 6193 + ... + 64871.

It is an arithmetic number, because the mean of its divisors is an integer number (65721600).

Almost surely, 22084982228 is an apocalyptic number.

2084982228 is a gapful number since it is divisible by the number (28) 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 2084982228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154636800).

2084982228 is an abundant number, since it is smaller than the sum of its proper divisors (4224291372).

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

2084982228 is a wasteful number, since it uses less digits than its factorization.

2084982228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58746 (or 58738 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2084982228 is about 45661.6056222293. The cubic root of 2084982228 is about 1277.5192487427.

The spelling of 2084982228 in words is "two billion, eighty-four million, nine hundred eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1692 1974 2538 2961 3948 5076 5922 8883 11844 17766 35532 58679 117358 176037 234716 352074 410753 528111 704148 821506 1056222 1232259 1584333 1643012 2112444 2464518 2757913 3168666 3696777 4929036 5515826 6337332 7393554 8273739 11031652 11090331 14787108 16547478 19305391 22180662 24821217 33094956 38610782 44361324 49642434 57916173 74463651 77221564 99284868 115832346 148927302 173748519 231664692 297854604 347497038 521245557 694994076 1042491114 2084982228