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211959990 = 23451123789
BaseRepresentation
bin11001010001001…
…00000010110110
3112202211200110000
430220210002312
5413230204430
633011012130
75152426104
oct1450440266
9482750400
10211959990
11a9711750
125ab9a046
1334bb4018
1420216c74
151391ce60
hexca240b6

211959990 has 80 divisors (see below), whose sum is σ = 621775440. Its totient is φ = 51382080.

The previous prime is 211959959. The next prime is 211960003. The reversal of 211959990 is 99959112.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 2985 + ... + 20804.

It is an arithmetic number, because the mean of its divisors is an integer number (7772193).

Almost surely, 2211959990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211959990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310887720).

211959990 is an abundant number, since it is smaller than the sum of its proper divisors (409815450).

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

211959990 is a wasteful number, since it uses less digits than its factorization.

211959990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23819 (or 23810 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The square root of 211959990 is about 14558.8457646889. The cubic root of 211959990 is about 596.2356825801.

The spelling of 211959990 in words is "two hundred eleven million, nine hundred fifty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 23789 47578 71367 118945 142734 214101 237890 261679 356835 428202 523358 642303 713670 785037 1070505 1284606 1308395 1570074 1926909 2141010 2355111 2616790 3211515 3853818 3925185 4710222 6423030 7065333 7850370 9634545 11775555 14130666 19269090 21195999 23551110 35326665 42391998 70653330 105979995 211959990