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211214020 = 22535329917
BaseRepresentation
bin11001001011011…
…01111011000100
3112201102210011111
430211231323010
5413032322040
632543014404
75143201213
oct1445557304
9481383144
10211214020
11a9252246
125a89a404
13349b2614
14200a107a
1513821dea
hexc96dec4

211214020 has 24 divisors (see below), whose sum is σ = 444820824. Its totient is φ = 84243456.

The previous prime is 211214011. The next prime is 211214021. The reversal of 211214020 is 20412112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51494976 + 159719044 = 7176^2 + 12638^2 .

It is a super-2 number, since 2×2112140202 = 89222724489120800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211214021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7899 + ... + 22018.

It is an arithmetic number, because the mean of its divisors is an integer number (18534201).

Almost surely, 2211214020 is an apocalyptic number.

211214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211214020 is an abundant number, since it is smaller than the sum of its proper divisors (233606804).

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

211214020 is a wasteful number, since it uses less digits than its factorization.

211214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30279 (or 30277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 211214020 is about 14533.2040514128. The cubic root of 211214020 is about 595.5353983229.

Adding to 211214020 its reverse (20412112), we get a palindrome (231626132).

The spelling of 211214020 in words is "two hundred eleven million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 29917 59834 119668 149585 299170 598340 10560701 21121402 42242804 52803505 105607010 211214020