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22002224430 = 23553791091607
BaseRepresentation
bin10100011111011011…
…110100110100101110
32002210101001210211010
4110133123310310232
5330030032140210
614035132010050
71406143551624
oct243733646456
962711053733
1022002224430
11937075595a
124320600926
1320c8450614
1410ca19d514
1588b91c920
hex51f6f4d2e

22002224430 has 128 divisors (see below), whose sum is σ = 55016755200. Its totient is φ = 5628040704.

The previous prime is 22002224407. The next prime is 22002224437. The reversal of 22002224430 is 3442220022.

It is a junction number, because it is equal to n+sod(n) for n = 22002224397 and 22002224406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002224437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13690687 + ... + 13692293.

It is an arithmetic number, because the mean of its divisors is an integer number (429818400).

Almost surely, 222002224430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27508377600).

22002224430 is an abundant number, since it is smaller than the sum of its proper divisors (33014530770).

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

22002224430 is a wasteful number, since it uses less digits than its factorization.

22002224430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858.

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 22002224430 its reverse (3442220022), we get a palindrome (25444444452).

The spelling of 22002224430 in words is "twenty-two billion, two million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 79 106 109 158 159 218 237 265 318 327 395 474 530 545 654 790 795 1090 1185 1590 1607 1635 2370 3214 3270 4187 4821 5777 8035 8374 8611 9642 11554 12561 16070 17222 17331 20935 24105 25122 25833 28885 34662 41870 43055 48210 51666 57770 62805 85171 86110 86655 125610 126953 129165 170342 173310 175163 253906 255513 258330 350326 380859 425855 456383 511026 525489 634765 761718 851710 875815 912766 1050978 1269530 1277565 1369149 1751630 1904295 2281915 2555130 2627445 2738298 3808590 4563830 5254890 6728509 6845745 9283639 13457018 13691490 13837877 18567278 20185527 27675754 27850917 33642545 40371054 41513631 46418195 55701834 67285090 69189385 83027262 92836390 100927635 138378770 139254585 201855270 207568155 278509170 415136310 733407481 1466814962 2200222443 3667037405 4400444886 7334074810 11001112215 22002224430