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211221990 = 23257335273
BaseRepresentation
bin11001001011011…
…11110111100110
3112201110012002200
430211233313212
5413033100430
632543115330
75143233360
oct1445576746
9481405080
10211221990
11a9258231
125a8a2b46
13349b6135
14200a3d30
1513824460
hexc96fde6

211221990 has 48 divisors (see below), whose sum is σ = 627632928. Its totient is φ = 48279168.

The previous prime is 211221979. The next prime is 211222019. The reversal of 211221990 is 99122112.

It is a super-3 number, since 3×2112219903 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167007 + ... + 168266.

It is an arithmetic number, because the mean of its divisors is an integer number (13075686).

Almost surely, 2211221990 is an apocalyptic number.

211221990 is an abundant number, since it is smaller than the sum of its proper divisors (416410938).

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

211221990 is a wasteful number, since it uses less digits than its factorization.

211221990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335293 (or 335290 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 211221990 is about 14533.4782485130. The cubic root of 211221990 is about 595.5428889201.

The spelling of 211221990 in words is "two hundred eleven million, two hundred twenty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 335273 670546 1005819 1676365 2011638 2346911 3017457 3352730 4693822 5029095 6034914 7040733 10058190 11734555 14081466 15087285 21122199 23469110 30174570 35203665 42244398 70407330 105610995 211221990