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2224423020 = 2235411038779
BaseRepresentation
bin1000010010010110…
…0000000001101100
312202000122101201210
42010211200001230
514023423014040
61004421034420
7106060166211
oct20445400154
95660571653
102224423020
11a416a0a36
12520b55a10
13295b03051
141715d7b08
15d0443480
hex8496006c

2224423020 has 96 divisors (see below), whose sum is σ = 6442974720. Its totient is φ = 573027840.

The previous prime is 2224422997. The next prime is 2224423037. The reversal of 2224423020 is 203244222.

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, 248991 + ... + 257769.

It is an arithmetic number, because the mean of its divisors is an integer number (67114320).

Almost surely, 22224423020 is an apocalyptic number.

2224423020 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 2224423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221487360).

2224423020 is an abundant number, since it is smaller than the sum of its proper divisors (4218551700).

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

2224423020 is a wasteful number, since it uses less digits than its factorization.

2224423020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2224423020 is about 47163.7892879696. The cubic root of 2224423020 is about 1305.3865298553.

Adding to 2224423020 its reverse (203244222), we get a palindrome (2427667242).

The spelling of 2224423020 in words is "two billion, two hundred twenty-four million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 103 123 164 205 206 246 309 410 412 492 515 615 618 820 1030 1230 1236 1545 2060 2460 3090 4223 6180 8446 8779 12669 16892 17558 21115 25338 26337 35116 42230 43895 50676 52674 63345 84460 87790 105348 126690 131685 175580 253380 263370 359939 526740 719878 904237 1079817 1439756 1799695 1808474 2159634 2712711 3599390 3616948 4319268 4521185 5399085 5425422 7198780 9042370 10798170 10850844 13563555 18084740 21596340 27127110 37073717 54254220 74147434 111221151 148294868 185368585 222442302 370737170 444884604 556105755 741474340 1112211510 2224423020