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22212112212 = 223217181239839
BaseRepresentation
bin10100101011111100…
…011110111101010100
32010100000000012201200
4110223330132331110
5330442300042322
614112030352500
71414302560433
oct245374367524
963300005650
1022212112212
119469181734
12437a95b730
13212ca8a384
141109dd711a
158a007b8ac
hex52bf1ef54

22212112212 has 144 divisors (see below), whose sum is σ = 60100185600. Its totient is φ = 6892784640.

The previous prime is 22212112189. The next prime is 22212112213. The reversal of 22212112212 is 21221121222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (22212112213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26474089 + ... + 26474927.

It is an arithmetic number, because the mean of its divisors is an integer number (417362400).

Almost surely, 222212112212 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 22212112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30050092800).

22212112212 is an abundant number, since it is smaller than the sum of its proper divisors (37888073388).

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

22212112212 is a wasteful number, since it uses less digits than its factorization.

22212112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1281 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 22212112212 its reverse (21221121222), we get a palindrome (43433233434).

The spelling of 22212112212 in words is "twenty-two billion, two hundred twelve million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 181 204 239 306 362 478 543 612 717 724 839 956 1086 1434 1629 1678 2151 2172 2517 2868 3077 3258 3356 4063 4302 5034 6154 6516 7551 8126 8604 9231 10068 12189 12308 14263 15102 16252 18462 24378 27693 28526 30204 36567 36924 42789 43259 48756 55386 57052 73134 85578 86518 110772 128367 129777 146268 151859 171156 173036 200521 256734 259554 303718 389331 401042 455577 513468 519108 601563 607436 735403 778662 802084 911154 1203126 1366731 1470806 1557324 1804689 1822308 2206209 2406252 2581603 2733462 2941612 3408857 3609378 4412418 5163206 5466924 6618627 6817714 7218756 7744809 8824836 10226571 10326412 13237254 13635428 15489618 20453142 23234427 26474508 30679713 30979236 36294301 40906284 46468854 61359426 72588602 92937708 108882903 122718852 145177204 217765806 326648709 435531612 617003117 653297418 1234006234 1306594836 1851009351 2468012468 3702018702 5553028053 7404037404 11106056106 22212112212