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222464142 = 232172373433
BaseRepresentation
bin11010100001010…
…00100010001110
3120111121100102200
431100220202032
5423422323032
634024102330
75340625335
oct1520504216
9514540380
10222464142
1110463666a
12626049a6
13371211b4
142178cd1c
15147e547c
hexd42888e

222464142 has 96 divisors (see below), whose sum is σ = 541090368. Its totient is φ = 65691648.

The previous prime is 222464101. The next prime is 222464149. The reversal of 222464142 is 241464222.

222464142 is a `hidden beast` number, since 2 + 2 + 246 + 414 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222464149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513558 + ... + 513990.

It is an arithmetic number, because the mean of its divisors is an integer number (5636358).

Almost surely, 2222464142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222464142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270545184).

222464142 is an abundant number, since it is smaller than the sum of its proper divisors (318626226).

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

222464142 is a wasteful number, since it uses less digits than its factorization.

222464142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 551 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 222464142 is about 14915.2318788546. The cubic root of 222464142 is about 605.9265832701.

It can be divided in two parts, 2224 and 64142, that added together give a palindrome (66366).

The spelling of 222464142 in words is "two hundred twenty-two million, four hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 73 102 138 146 153 207 219 306 391 414 433 438 657 782 866 1173 1241 1299 1314 1679 2346 2482 2598 3358 3519 3723 3897 5037 7038 7361 7446 7794 9959 10074 11169 14722 15111 19918 22083 22338 28543 29877 30222 31609 44166 57086 59754 63218 66249 85629 89631 94827 132498 169303 171258 179262 189654 256887 284481 338606 507909 513774 537353 568962 727007 1015818 1074706 1454014 1523727 1612059 2181021 3047454 3224118 4362042 4836177 6543063 9672354 12359119 13086126 24718238 37077357 74154714 111232071 222464142