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211049820 = 223352913477
BaseRepresentation
bin11001001010001…
…01110101011100
3112201010102221000
430211011311130
5413012043240
632535310300
75141615412
oct1445056534
9481112830
10211049820
11a914a943
125a81b390
1334955967
142005b2b2
15137dd430
hexc945d5c

211049820 has 96 divisors (see below), whose sum is σ = 679291200. Its totient is φ = 54335232.

The previous prime is 211049819. The next prime is 211049821. The reversal of 211049820 is 28940112.

211049820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211049819) and next prime (211049821).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211049821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8922 + ... + 22398.

It is an arithmetic number, because the mean of its divisors is an integer number (7075950).

Almost surely, 2211049820 is an apocalyptic number.

211049820 is a gapful number since it is divisible by the number (20) 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 211049820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339645600).

211049820 is an abundant number, since it is smaller than the sum of its proper divisors (468241380).

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

211049820 is a wasteful number, since it uses less digits than its factorization.

211049820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13524 (or 13516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 211049820 is about 14527.5538202410. The cubic root of 211049820 is about 595.3810331542.

Adding to 211049820 its reverse (28940112), we get a palindrome (239989932).

The spelling of 211049820 in words is "two hundred eleven million, forty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 13477 15660 26954 40431 53908 67385 80862 121293 134770 161724 202155 242586 269540 363879 390833 404310 485172 606465 727758 781666 808620 1172499 1212930 1455516 1563332 1819395 1954165 2344998 2425860 3517497 3638790 3908330 4689996 5862495 7034994 7277580 7816660 10552491 11724990 14069988 17587485 21104982 23449980 35174970 42209964 52762455 70349940 105524910 211049820