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211431400 = 23521057157
BaseRepresentation
bin11001001101000…
…10111111101000
3112201211211100121
430212202333220
5413111301100
632551413024
75145065035
oct1446427750
9481754317
10211431400
11a93905a4
125a984174
1334a5a54b
142011a38c
151386651a
hexc9a2fe8

211431400 has 24 divisors (see below), whose sum is σ = 491578470. Its totient is φ = 84572480.

The previous prime is 211431361. The next prime is 211431403. The reversal of 211431400 is 4134112.

It can be written as a sum of positive squares in 3 ways, for example, as 177582276 + 33849124 = 13326^2 + 5818^2 .

It is not an unprimeable number, because it can be changed into a prime (211431403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528379 + ... + 528778.

Almost surely, 2211431400 is an apocalyptic number.

211431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431400 is an abundant number, since it is smaller than the sum of its proper divisors (280147070).

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

211431400 is a wasteful number, since it uses less digits than its factorization.

211431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057173 (or 1057164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211431400 is about 14540.6808643887. The cubic root of 211431400 is about 595.7396352355.

Adding to 211431400 its reverse (4134112), we get a palindrome (215565512).

The spelling of 211431400 in words is "two hundred eleven million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1057157 2114314 4228628 5285785 8457256 10571570 21143140 26428925 42286280 52857850 105715700 211431400