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213222232212 = 2231119109779971
BaseRepresentation
bin1100011010010100001…
…0010001000010010100
3202101100211020200020120
43012211002101002110
511443134342412322
6241541500231540
721255563032653
oct3064502210224
9671324220216
10213222232212
1182477433a40
12353a783b5b0
1317150760612
14a46a17919a
15582e172a5c
hex31a5091094

213222232212 has 96 divisors (see below), whose sum is σ = 576555302400. Its totient is φ = 60650467200.

The previous prime is 213222232211. The next prime is 213222232241. The reversal of 213222232212 is 212232222312.

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 (213222232211) 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 31 ways as a sum of consecutive naturals, for example, 116614 + ... + 663357.

It is an arithmetic number, because the mean of its divisors is an integer number (6005784400).

Almost surely, 2213222232212 is an apocalyptic number.

213222232212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213222232212 is an abundant number, since it is smaller than the sum of its proper divisors (363333070188).

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

213222232212 is a wasteful number, since it uses less digits than its factorization.

213222232212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780117 (or 780115 counting only the distinct ones).

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

Adding to 213222232212 its reverse (212232222312), we get a palindrome (425454454524).

The spelling of 213222232212 in words is "two hundred thirteen billion, two hundred twenty-two million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 109 114 132 209 218 228 327 418 436 627 654 836 1199 1254 1308 2071 2398 2508 3597 4142 4796 6213 7194 8284 12426 14388 22781 24852 45562 68343 91124 136686 273372 779971 1559942 2339913 3119884 4679826 8579681 9359652 14819449 17159362 25739043 29638898 34318724 44458347 51478086 59277796 85016839 88916694 102956172 163013939 170033678 177833388 255050517 326027878 340067356 489041817 510101034 652055756 935185229 978083634 1020202068 1615319941 1870370458 1956167268 2805555687 3230639882 3740740916 4845959823 5611111374 6461279764 9691919646 11222222748 17768519351 19383839292 35537038702 53305558053 71074077404 106611116106 213222232212