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2221434324 = 2232193738707
BaseRepresentation
bin1000010001101000…
…0110010111010100
312201211000120000100
42010122012113110
514022141344244
61004233014100
7106022610624
oct20432062724
95654016010
102221434324
11a3aa3a53a
1251bb54330
132952c78a5
1417105a884
15d0052b69
hex846865d4

2221434324 has 72 divisors (see below), whose sum is σ = 5927361440. Its totient is φ = 699544512.

The previous prime is 2221434283. The next prime is 2221434329. The reversal of 2221434324 is 4234341222.

2221434324 is a `hidden beast` number, since 2 + 221 + 4 + 3 + 432 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221434329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250779 + ... + 259485.

Almost surely, 22221434324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963680720).

2221434324 is an abundant number, since it is smaller than the sum of its proper divisors (3705927116).

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

2221434324 is a wasteful number, since it uses less digits than its factorization.

2221434324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109 (or 9104 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2221434324 is about 47132.0944155890. The cubic root of 2221434324 is about 1304.8016362962.

Adding to 2221434324 its reverse (4234341222), we get a palindrome (6455775546).

The spelling of 2221434324 in words is "two billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 373 684 746 1119 1492 2238 3357 4476 6714 7087 8707 13428 14174 17414 21261 26121 28348 34828 42522 52242 63783 78363 85044 104484 127566 156726 165433 255132 313452 330866 496299 661732 992598 1488897 1985196 2977794 3247711 5955588 6495422 9743133 12990844 19486266 29229399 38972532 58458798 61706509 116917596 123413018 185119527 246826036 370239054 555358581 740478108 1110717162 2221434324