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212022223213332 = 2237151115314497591
BaseRepresentation
bin110000001101010101000101…
…010011001001001100010100
31000210201010102021121100222010
4300031111011103021030110
5210242233003120311312
62030533355324104220
762442046225454460
oct6015250523111424
91023633367540863
10212022223213332
1161614135661264
121b9433b1695070
13913c7c0b2492c
143a4dd04c894a0
15197a2b7ed093c
hexc0d5454c9314

212022223213332 has 96 divisors (see below), whose sum is σ = 569630570328064. Its totient is φ = 60124405248000.

The previous prime is 212022223213247. The next prime is 212022223213357. The reversal of 212022223213332 is 233312322220212.

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 212022223213332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7375857 + ... + 21873447.

Almost surely, 2212022223213332 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 212022223213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284815285164032).

212022223213332 is an abundant number, since it is smaller than the sum of its proper divisors (357608347114732).

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

212022223213332 is a wasteful number, since it uses less digits than its factorization.

212022223213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14498909 (or 14498907 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 212022223213332 its reverse (233312322220212), we get a palindrome (445334545433544).

The spelling of 212022223213332 in words is "two hundred twelve trillion, twenty-two billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1153 1812 2114 2306 3171 3459 4228 4612 6342 6918 8071 12684 13836 16142 24213 32284 48426 96852 174103 348206 522309 696412 1044618 1218721 2089236 2437442 3656163 4874884 7312326 14497591 14624652 28995182 43492773 57990364 86985546 101483137 173971092 202966274 304449411 405932548 608898822 1217797644 2189136241 4378272482 6567408723 8756544964 13134817446 15323953687 16715722423 26269634892 30647907374 33431444846 45971861061 50147167269 61295814748 66862889692 91943722122 100294334538 117010056961 183887444244 200588669076 234020113922 351030170883 468040227844 702060341766 1404120683532 2524074085873 5048148171746 7572222257619 10096296343492 15144444515238 17668518601111 30288889030476 35337037202222 53005555803333 70674074404444 106011111606666 212022223213332