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212022120222 = 232115918149471
BaseRepresentation
bin1100010101110110000…
…0001100111100011110
3202021021012000200002100
43011131200030330132
511433210130321342
6241222425505530
721214051200123
oct3053540147436
9667235020070
10212022120222
1181a10a61050
12351119422a6
1316cbbc2a193
14a394a1a74a
1557adb13e4c
hex315d80cf1e

212022120222 has 48 divisors (see below), whose sum is σ = 509637173760. Its totient is φ = 63160155600.

The previous prime is 212022120217. The next prime is 212022120257. The reversal of 212022120222 is 222021220212.

212022120222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2120221202223 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212022120195 and 212022120204.

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 23 ways as a sum of consecutive naturals, for example, 9063054 + ... + 9086417.

It is an arithmetic number, because the mean of its divisors is an integer number (10617441120).

Almost surely, 2212022120222 is an apocalyptic number.

212022120222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212022120222 is an abundant number, since it is smaller than the sum of its proper divisors (297615053538).

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

212022120222 is a wasteful number, since it uses less digits than its factorization.

212022120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149549 (or 18149546 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212022120222 its reverse (222021220212), we get a palindrome (434043340434).

The spelling of 212022120222 in words is "two hundred twelve billion, twenty-two million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11682 18149471 36298942 54448413 108896826 163345239 199644181 326690478 399288362 598932543 1070818789 1197865086 1796797629 2141637578 3212456367 3593595258 6424912734 9637369101 11779006679 19274738202 23558013358 35337020037 70674040074 106011060111 212022120222