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211052296 = 237132391213
BaseRepresentation
bin11001001010001…
…10011100001000
3112201010120022201
430211012130020
5413012133141
632535325544
75141625550
oct1445063410
9481116281
10211052296
11a9151794
125a8208b4
1334956b20
142005c160
15137de031
hexc946708

211052296 has 64 divisors (see below), whose sum is σ = 489484800. Its totient is φ = 83075328.

The previous prime is 211052293. The next prime is 211052311. The reversal of 211052296 is 692250112.

211052296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (211052293) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173386 + ... + 174598.

It is an arithmetic number, because the mean of its divisors is an integer number (7648200).

Almost surely, 2211052296 is an apocalyptic number.

211052296 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 211052296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244742400).

211052296 is an abundant number, since it is smaller than the sum of its proper divisors (278432504).

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

211052296 is a wasteful number, since it uses less digits than its factorization.

211052296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 211052296 is about 14527.6390373660. The cubic root of 211052296 is about 595.3833614475.

The spelling of 211052296 in words is "two hundred eleven million, fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 239 364 478 728 956 1213 1673 1912 2426 3107 3346 4852 6214 6692 8491 9704 12428 13384 15769 16982 21749 24856 31538 33964 43498 63076 67928 86996 110383 126152 173992 220766 289907 441532 579814 883064 1159628 2029349 2319256 3768791 4058698 7537582 8117396 15075164 16234792 26381537 30150328 52763074 105526148 211052296