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2223411140 = 2253141471861
BaseRepresentation
bin1000010010000110…
…1000111111000100
312201221201222200202
42010201220333010
514023143124030
61004343230032
7106045453136
oct20441507704
95657658622
102223411140
11a4106a775
12520748318
1329583a5c2
14171413056
15d02e3745
hex84868fc4

2223411140 has 96 divisors (see below), whose sum is σ = 5045096448. Its totient is φ = 821376000.

The previous prime is 2223411137. The next prime is 2223411163. The reversal of 2223411140 is 411143222.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1193810 + ... + 1195670.

It is an arithmetic number, because the mean of its divisors is an integer number (52553088).

Almost surely, 22223411140 is an apocalyptic number.

2223411140 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 2223411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522548224).

2223411140 is an abundant number, since it is smaller than the sum of its proper divisors (2821685308).

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

2223411140 is a wasteful number, since it uses less digits than its factorization.

2223411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2223411140 is about 47153.0607702194. The cubic root of 2223411140 is about 1305.1885616855.

Adding to 2223411140 its reverse (411143222), we get a palindrome (2634554362).

The spelling of 2223411140 in words is "two billion, two hundred twenty-three million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 41 47 62 82 94 124 155 164 188 205 235 310 410 470 620 820 940 1271 1457 1861 1927 2542 2914 3722 3854 5084 5828 6355 7285 7444 7708 9305 9635 12710 14570 18610 19270 25420 29140 37220 38540 57691 59737 76301 87467 115382 119474 152602 174934 230764 238948 288455 298685 305204 349868 381505 437335 576910 597370 763010 874670 1153820 1194740 1526020 1749340 2365331 2711477 3586147 4730662 5422954 7172294 9461324 10845908 11826655 13557385 14344588 17930735 23653310 27114770 35861470 47306620 54229540 71722940 111170557 222341114 444682228 555852785 1111705570 2223411140