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22121424330 = 23573103281349
BaseRepresentation
bin10100100110100010…
…100010010111001010
32010002200100210100020
4110212202202113022
5330301041034310
614055030521310
71412122001325
oct244642422712
963080323306
1022121424330
119421a70575
124354506236
1321170572c5
1410dbd4b7bc
15897116170
hex5268a25ca

22121424330 has 128 divisors (see below), whose sum is σ = 54690854400. Its totient is φ = 5724794880.

The previous prime is 22121424289. The next prime is 22121424343. The reversal of 22121424330 is 3342412122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22121424330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63384996 + ... + 63385344.

It is an arithmetic number, because the mean of its divisors is an integer number (427272300).

Almost surely, 222121424330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121424330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27345427200).

22121424330 is an abundant number, since it is smaller than the sum of its proper divisors (32569430070).

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

22121424330 is a wasteful number, since it uses less digits than its factorization.

22121424330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22121424330 its reverse (3342412122), we get a palindrome (25463836452).

The spelling of 22121424330 in words is "twenty-two billion, one hundred twenty-one million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 103 146 206 219 281 309 349 365 438 515 562 618 698 730 843 1030 1047 1095 1405 1545 1686 1745 2094 2190 2810 3090 3490 4215 5235 7519 8430 10470 15038 20513 22557 25477 28943 35947 37595 41026 45114 50954 57886 61539 71894 75190 76431 86829 98069 102565 107841 112785 123078 127385 144715 152862 173658 179735 196138 205130 215682 225570 254770 289430 294207 307695 359470 382155 434145 490345 539205 588414 615390 764310 868290 980690 1078410 1471035 2112839 2624131 2942070 4225678 5248262 6338517 7159037 7872393 10101107 10564195 12677034 13120655 14318074 15744786 20202214 21128390 21477111 26241310 30303321 31692585 35795185 39361965 42954222 50505535 60606642 63385170 71590370 78723930 101011070 107385555 151516605 214771110 303033210 737380811 1474761622 2212142433 3686904055 4424284866 7373808110 11060712165 22121424330