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22021222212 = 223211223219799
BaseRepresentation
bin10100100000100100…
…010010111101000100
32002211200210222212200
4110200210102331010
5330044413102322
614041051114500
71406464205013
oct244044227504
962750728780
1022021222212
119380451200
124326a42a30
1320cc372802
1410cc906a7a
1588d4218ac
hex520912f44

22021222212 has 108 divisors (see below), whose sum is σ = 63845745600. Its totient is φ = 6382933920.

The previous prime is 22021222199. The next prime is 22021222219. The reversal of 22021222212 is 21222212022.

22021222212 is a `hidden beast` number, since 220 + 212 + 22 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22021222219) 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 35 ways as a sum of consecutive naturals, for example, 9712 + ... + 210087.

Almost surely, 222021222212 is an apocalyptic number.

22021222212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31922872800).

22021222212 is an abundant number, since it is smaller than the sum of its proper divisors (41824523388).

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

22021222212 is a wasteful number, since it uses less digits than its factorization.

22021222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219854 (or 219838 counting only the distinct ones).

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

Adding to 22021222212 its reverse (21222212022), we get a palindrome (43243434234).

The spelling of 22021222212 in words is "twenty-two billion, twenty-one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 121 132 138 198 207 242 253 276 363 396 414 484 506 726 759 828 1012 1089 1452 1518 2178 2277 2783 3036 4356 4554 5566 8349 9108 11132 16698 25047 33396 50094 100188 219799 439598 659397 879196 1318794 1978191 2417789 2637588 3956382 4835578 5055377 7253367 7912764 9671156 10110754 14506734 15166131 20221508 21760101 26595679 29013468 30332262 43520202 45498393 53191358 55609147 60664524 79787037 87040404 90996786 106382716 111218294 159574074 166827441 181993572 222436588 239361111 319148148 333654882 478722222 500482323 611700617 667309764 957444444 1000964646 1223401234 1835101851 2001929292 2446802468 3670203702 5505305553 7340407404 11010611106 22021222212