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2225005222 = 2111929312191
BaseRepresentation
bin1000010010011110…
…1110001010100110
312202001201222100211
42010213232022212
514024100131342
61004441330034
7106065142456
oct20447561246
95661658324
102225005222
11a41a593a0
1252119691a
13295c7804b
14171709d66
15d050ac17
hex849ee2a6

2225005222 has 96 divisors (see below), whose sum is σ = 4118169600. Its totient is φ = 890568000.

The previous prime is 2225005219. The next prime is 2225005231.

2225005222 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2225005193 and 2225005202.

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, 11649147 + ... + 11649337.

It is an arithmetic number, because the mean of its divisors is an integer number (42897600).

Almost surely, 22225005222 is an apocalyptic number.

2225005222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2225005222 is a deficient number, since it is larger than the sum of its proper divisors (1893164378).

2225005222 is a wasteful number, since it uses less digits than its factorization.

2225005222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2225005222 is about 47169.9610133398. The cubic root of 2225005222 is about 1305.5004069290.

It can be divided in two parts, 222500 and 5222, that added together give a palindrome (227722).

The spelling of 2225005222 in words is "two billion, two hundred twenty-five million, five thousand, two hundred twenty-two".

Divisors: 1 2 11 19 22 29 31 38 58 62 191 209 319 341 382 418 551 589 638 682 899 961 1102 1178 1798 1922 2101 3629 4202 5539 5921 6061 6479 7258 9889 10571 11078 11842 12122 12958 17081 18259 19778 21142 27869 34162 36518 39919 55738 60929 65131 79838 105241 112499 121858 130262 171709 183551 187891 200849 210482 224998 306559 343418 367102 375782 401698 529511 613118 1059022 1157651 1237489 1888799 2019061 2315302 2474978 3262471 3487469 3777598 4038122 5322979 5824621 6524942 6974938 10645958 11649242 35887181 38362159 58552769 71774362 76724318 101136601 117105538 202273202 1112502611 2225005222