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224241142422 = 23112618956893
BaseRepresentation
bin1101000011010111010…
…0000100101010010110
3210102210202021022102010
43100311310010222112
512133221213024142
6251003121525050
722125622155423
oct3206564045226
9712722238363
10224241142422
1187111308300
1237561aa3786
13181b857932b
14abd376cd4a
155c766e9e9c
hex3435d04a96

224241142422 has 96 divisors (see below), whose sum is σ = 506679757920. Its totient is φ = 66085747200.

The previous prime is 224241142421. The next prime is 224241142451.

224241142422 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 224241142422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224241142421) 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 47 ways as a sum of consecutive naturals, for example, 3913008 + ... + 3969900.

It is an arithmetic number, because the mean of its divisors is an integer number (5277914145).

Almost surely, 2224241142422 is an apocalyptic number.

224241142422 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 224241142422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253339878960).

224241142422 is an abundant number, since it is smaller than the sum of its proper divisors (282438615498).

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

224241142422 is a wasteful number, since it uses less digits than its factorization.

224241142422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57070 (or 57059 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 224241 and 142422, that added together give a palindrome (366663).

The spelling of 224241142422 in words is "two hundred twenty-four billion, two hundred forty-one million, one hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 89 121 122 178 183 242 267 363 366 534 671 726 979 1342 1958 2013 2937 4026 5429 5874 7381 10769 10858 14762 16287 21538 22143 32307 32574 44286 56893 59719 64614 113786 119438 170679 179157 341358 358314 625823 656909 1251646 1313818 1877469 1970727 3470473 3754938 3941454 5063477 6884053 6940946 10126954 10411419 13768106 15190431 20652159 20822838 30380862 38175203 41304318 55698247 76350406 111396494 114525609 167094741 229051218 308872097 334189482 419927233 612680717 617744194 839854466 926616291 1225361434 1259781699 1838042151 1853232582 2519563398 3397593067 3676084302 6795186134 10192779201 20385558402 37373523737 74747047474 112120571211 224241142422