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214711300 = 225211319001
BaseRepresentation
bin11001100110000…
…11110000000100
3112222000110112101
430303003300010
5414431230200
633150001444
75215005316
oct1463036004
9488013471
10214711300
11100220861
125baa6284
133563840b
14207317b6
1513cb326a
hexccc3c04

214711300 has 36 divisors (see below), whose sum is σ = 470071476. Its totient is φ = 85120000.

The previous prime is 214711291. The next prime is 214711303. The reversal of 214711300 is 3117412.

It can be written as a sum of positive squares in 6 ways, for example, as 80568576 + 134142724 = 8976^2 + 11582^2 .

It is a super-2 number, since 2×2147113002 = 92201884695380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214711303) 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 11 ways as a sum of consecutive naturals, for example, 1800 + ... + 20800.

It is an arithmetic number, because the mean of its divisors is an integer number (13057541).

Almost surely, 2214711300 is an apocalyptic number.

214711300 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 214711300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235035738).

214711300 is an abundant number, since it is smaller than the sum of its proper divisors (255360176).

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

214711300 is a wasteful number, since it uses less digits than its factorization.

214711300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19128 (or 19121 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 214711300 is about 14653.0304032988. The cubic root of 214711300 is about 598.8043783232.

Adding to 214711300 its reverse (3117412), we get a palindrome (217828712).

The spelling of 214711300 in words is "two hundred fourteen million, seven hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 19001 38002 76004 95005 190010 380020 475025 950050 1900100 2147113 4294226 8588452 10735565 21471130 42942260 53677825 107355650 214711300