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224034430422 = 23113796794873
BaseRepresentation
bin1101000010100101111…
…1100001110111010110
3210102021100022020212010
43100221133201313112
512132310303233142
6250530415205050
722120532144505
oct3205137416726
9712240266763
10224034430422
1187015660540
1237504816786
13181847b1c3a
14abb412083c
155c634b6e9c
hex34297e1dd6

224034430422 has 64 divisors (see below), whose sum is σ = 502537711104. Its totient is φ = 65985373440.

The previous prime is 224034430397. The next prime is 224034430429.

224034430422 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 224034430422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224034430429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2313978 + ... + 2408850.

It is an arithmetic number, because the mean of its divisors is an integer number (7852151736).

Almost surely, 2224034430422 is an apocalyptic number.

224034430422 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 224034430422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251268855552).

224034430422 is an abundant number, since it is smaller than the sum of its proper divisors (278503280682).

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

224034430422 is a wasteful number, since it uses less digits than its factorization.

224034430422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95893.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 224034 and 430422, that added together give a palindrome (654456).

The spelling of 224034430422 in words is "two hundred twenty-four billion, thirty-four million, four hundred thirty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 967 1221 1934 2442 2901 5802 10637 21274 31911 35779 63822 71558 94873 107337 189746 214674 284619 393569 569238 787138 1043603 1180707 2087206 2361414 3130809 3510301 6261618 7020602 10530903 21061806 38613311 77226622 91742191 115839933 183484382 231679866 275226573 550453146 1009164101 2018328202 3027492303 3394461067 6054984606 6788922134 10183383201 20366766402 37339071737 74678143474 112017215211 224034430422