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211668390 = 2345299011
BaseRepresentation
bin11001001110111…
…00110110100110
3112202021212110000
430213130312212
5413141342030
633000442130
75150103003
oct1447346646
9482255400
10211668390
11a953265a
125aa79346
1334b1138b
142017c8aa
15138b1860
hexc9dcda6

211668390 has 80 divisors (see below), whose sum is σ = 588844080. Its totient is φ = 54492480.

The previous prime is 211668389. The next prime is 211668409. The reversal of 211668390 is 93866112.

211668390 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18985 + ... + 27995.

It is an arithmetic number, because the mean of its divisors is an integer number (7360551).

Almost surely, 2211668390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211668390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294422040).

211668390 is an abundant number, since it is smaller than the sum of its proper divisors (377175690).

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

211668390 is a wasteful number, since it uses less digits than its factorization.

211668390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 211668390 is about 14548.8277878323. The cubic root of 211668390 is about 595.9621370629.

The spelling of 211668390 in words is "two hundred eleven million, six hundred sixty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 9011 11745 18022 23490 27033 45055 54066 81099 90110 135165 162198 243297 261319 270330 405495 486594 522638 729891 783957 810990 1216485 1306595 1459782 1567914 2351871 2432970 2613190 3649455 3919785 4703742 7055613 7298910 7839570 11759355 14111226 21166839 23518710 35278065 42333678 70556130 105834195 211668390