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222221142 = 2321113229229
BaseRepresentation
bin11010011111011…
…01001101010110
3120111011000002200
431033231031112
5423342034032
634014545330
75335564023
oct1517551526
9514130080
10222221142
11104490040
1262508246
1337067700
142172854a
151479847c
hexd3ed356

222221142 has 144 divisors (see below), whose sum is σ = 590943600. Its totient is φ = 59754240.

The previous prime is 222221137. The next prime is 222221143. The reversal of 222221142 is 241122222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 970284 + ... + 970512.

It is an arithmetic number, because the mean of its divisors is an integer number (4103775).

Almost surely, 2222221142 is an apocalyptic number.

222221142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222221142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295471800).

222221142 is an abundant number, since it is smaller than the sum of its proper divisors (368722458).

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

222221142 is a wasteful number, since it uses less digits than its factorization.

222221142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 222221142 is about 14907.0836181998. The cubic root of 222221142 is about 605.7058828288.

Adding to 222221142 its reverse (241122222), we get a palindrome (463343364).

The spelling of 222221142 in words is "two hundred twenty-two million, two hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 169 174 198 229 234 261 286 319 338 377 429 458 507 522 638 687 754 858 957 1014 1131 1287 1374 1521 1859 1914 2061 2262 2519 2574 2871 2977 3042 3393 3718 4122 4147 4901 5038 5577 5742 5954 6641 6786 7557 8294 8931 9802 11154 12441 13282 14703 15114 16731 17862 19923 22671 24882 26793 29406 32747 33462 37323 38701 39846 44109 45342 53586 53911 59769 65494 73051 74646 77402 86333 88218 98241 107822 116103 119538 146102 161733 172666 196482 219153 232206 258999 294723 323466 348309 425711 438306 485199 517998 589446 657459 696618 776997 851422 949663 970398 1122329 1277133 1314918 1553994 1899326 2244658 2554266 2848989 3366987 3831399 5697978 6733974 7662798 8546967 10100961 12345619 17093934 20201922 24691238 37036857 74073714 111110571 222221142