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21211190 = 25711132163
BaseRepresentation
bin101000011101…
…0100000110110
31110220122021122
41100322200312
520412224230
62034343542
7345202130
oct120724066
943818248
1021211190
1110a78310
12712abb2
134518800
142b62050
151cdebe5
hex143a836

21211190 has 96 divisors (see below), whose sum is σ = 51860736. Its totient is φ = 6065280.

The previous prime is 21211181. The next prime is 21211217. The reversal of 21211190 is 9111212.

21211190 = 6132 + 6142 + ... + 6642.

It is a super-2 number, since 2×212111902 = 899829162432200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130049 + ... + 130211.

It is an arithmetic number, because the mean of its divisors is an integer number (540216).

Almost surely, 221211190 is an apocalyptic number.

21211190 is an abundant number, since it is smaller than the sum of its proper divisors (30649546).

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

21211190 is a wasteful number, since it uses less digits than its factorization.

21211190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 21211190 is about 4605.5607693309. The cubic root of 21211190 is about 276.8141872260.

The spelling of 21211190 in words is "twenty-one million, two hundred eleven thousand, one hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 163 169 182 286 326 338 385 455 715 770 815 845 910 1001 1141 1183 1430 1630 1690 1793 1859 2002 2119 2282 2366 3586 3718 4238 5005 5705 5915 8965 9295 10010 10595 11410 11830 12551 13013 14833 17930 18590 21190 23309 25102 26026 27547 29666 46618 55094 62755 65065 74165 116545 125510 130130 137735 148330 163163 192829 233090 275470 303017 326326 385658 606034 815815 964145 1515085 1631630 1928290 2121119 3030170 4242238 10605595 21211190