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2240206980 = 2235114637331
BaseRepresentation
bin1000010110000110…
…1101100010000100
312210010100022020220
42011201231202010
514041443110410
61010143224340
7106341305454
oct20541554204
95703308226
102240206980
11a4a5a1730
125262a80b0
1329916b47b
14173745d64
15d1a10070
hex8586d884

2240206980 has 96 divisors (see below), whose sum is σ = 6858528768. Its totient is φ = 541833600.

The previous prime is 2240206979. The next prime is 2240206999. The reversal of 2240206980 is 896020422.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 301915 + ... + 309245.

It is an arithmetic number, because the mean of its divisors is an integer number (71443008).

Almost surely, 22240206980 is an apocalyptic number.

2240206980 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 2240206980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429264384).

2240206980 is an abundant number, since it is smaller than the sum of its proper divisors (4618321788).

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

2240206980 is a wasteful number, since it uses less digits than its factorization.

2240206980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2240206980 is about 47330.8248396328. The cubic root of 2240206980 is about 1308.4668231500.

The spelling of 2240206980 in words is "two billion, two hundred forty million, two hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 463 660 926 1389 1852 2315 2778 4630 5093 5556 6945 7331 9260 10186 13890 14662 15279 20372 21993 25465 27780 29324 30558 36655 43986 50930 61116 73310 76395 80641 87972 101860 109965 146620 152790 161282 219930 241923 305580 322564 403205 439860 483846 806410 967692 1209615 1612820 2419230 3394253 4838460 6788506 10182759 13577012 16971265 20365518 33942530 37336783 40731036 50913795 67885060 74673566 101827590 112010349 149347132 186683915 203655180 224020698 373367830 448041396 560051745 746735660 1120103490 2240206980