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211213000 = 2353211213
BaseRepresentation
bin11001001011011…
…01101011001000
3112201102201202201
430211231223020
5413032304000
632543005544
75143165225
oct1445555310
9481381681
10211213000
11a92514a9
125a8998b4
13349b200b
14200a094c
151382196a
hexc96dac8

211213000 has 32 divisors (see below), whose sum is σ = 494240760. Its totient is φ = 84484800.

The previous prime is 211212973. The next prime is 211213007. The reversal of 211213000 is 312112.

211213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11329956 + 199883044 = 3366^2 + 14138^2 .

It is a super-2 number, since 2×2112130002 = 89221862738000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211213007) 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, 104607 + ... + 106606.

Almost surely, 2211213000 is an apocalyptic number.

211213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211213000 is an abundant number, since it is smaller than the sum of its proper divisors (283027760).

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

211213000 is a wasteful number, since it uses less digits than its factorization.

211213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211234 (or 211220 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 211213000 is about 14533.1689593151. The cubic root of 211213000 is about 595.5344396633.

Adding to 211213000 its reverse (312112), we get a palindrome (211525112).

The spelling of 211213000 in words is "two hundred eleven million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 211213 422426 844852 1056065 1689704 2112130 4224260 5280325 8448520 10560650 21121300 26401625 42242600 52803250 105606500 211213000