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2241222100 = 22521379139157
BaseRepresentation
bin1000010110010110…
…0101010111010100
312210012020212201221
42011211211113110
514042223101400
61010221100124
7106353034135
oct20545452724
95705225657
102241222100
11a50125377
125266b7644
13299435530
1417392bc8c
15d1b60c1a
hex859655d4

2241222100 has 144 divisors (see below), whose sum is σ = 5376044800. Its totient is φ = 806008320.

The previous prime is 2241222043. The next prime is 2241222133. The reversal of 2241222100 is 12221422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14275222 + ... + 14275378.

Almost surely, 22241222100 is an apocalyptic number.

2241222100 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 2241222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688022400).

2241222100 is an abundant number, since it is smaller than the sum of its proper divisors (3134822700).

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

2241222100 is a wasteful number, since it uses less digits than its factorization.

2241222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2241222100 is about 47341.5472919929. The cubic root of 2241222100 is about 1308.6644314183.

Adding to 2241222100 its reverse (12221422), we get a palindrome (2253443522).

The spelling of 2241222100 in words is "two billion, two hundred forty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 139 157 158 260 278 314 316 325 395 556 628 650 695 785 790 1027 1300 1390 1570 1580 1807 1975 2041 2054 2780 3140 3475 3614 3925 3950 4082 4108 5135 6950 7228 7850 7900 8164 9035 10205 10270 10981 12403 13900 15700 18070 20410 20540 21823 21962 24806 25675 36140 40820 43646 43924 45175 49612 51025 51350 54905 62015 87292 90350 102050 102700 109115 109810 124030 142753 161239 180700 204100 218230 219620 248060 274525 283699 285506 310075 322478 436460 545575 549050 567398 571012 620150 644956 713765 806195 1091150 1098100 1134796 1240300 1418495 1427530 1612390 1724017 2182300 2836990 2855060 3224780 3448034 3568825 4030975 5673980 6896068 7092475 7137650 8061950 8620085 14184950 14275300 16123900 17240170 22412221 28369900 34480340 43100425 44824442 86200850 89648884 112061105 172401700 224122210 448244420 560305525 1120611050 2241222100