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211455296 = 2613376869
BaseRepresentation
bin11001001101010…
…00110101000000
3112201220001010122
430212220311000
5413113032141
632552115412
75145224513
oct1446506500
9481801118
10211455296
11a93a7548
125a995b68
1334a683a0
1420124d7a
151386d64b
hexc9a8d40

211455296 has 56 divisors (see below), whose sum is σ = 464164680. Its totient is φ = 94943232.

The previous prime is 211455281. The next prime is 211455311. The reversal of 211455296 is 692554112.

It is a happy number.

211455296 is digitally balanced in base 3, 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 (211455281) and next prime (211455311).

It can be written as a sum of positive squares in 4 ways, for example, as 1784896 + 209670400 = 1336^2 + 14480^2 .

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 7 ways as a sum of consecutive naturals, for example, 27350 + ... + 34218.

It is an arithmetic number, because the mean of its divisors is an integer number (8288655).

Almost surely, 2211455296 is an apocalyptic number.

211455296 is a gapful number since it is divisible by the number (26) 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 211455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232082340).

211455296 is an abundant number, since it is smaller than the sum of its proper divisors (252709384).

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

211455296 is a wasteful number, since it uses less digits than its factorization.

211455296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931 (or 6921 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 211455296 is about 14541.5025358455. The cubic root of 211455296 is about 595.7620779097.

The spelling of 211455296 in words is "two hundred eleven million, four hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2368 3848 6869 7696 13738 15392 27476 30784 54952 89297 109904 178594 219808 254153 357188 439616 508306 714376 1016612 1428752 2033224 2857504 3303989 4066448 5715008 6607978 8132896 13215956 16265792 26431912 52863824 105727648 211455296