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211244000 = 2553114801
BaseRepresentation
bin11001001011101…
…01001111100000
3112201111022021212
430211311033200
5413034302000
632543405252
75143354502
oct1445651740
9481438255
10211244000
11a9272820
125a8b3828
13349c3166
14200abd72
151382ac35
hexc9753e0

211244000 has 96 divisors (see below), whose sum is σ = 566328672. Its totient is φ = 76800000.

The previous prime is 211243997. The next prime is 211244041. The reversal of 211244000 is 442112.

211244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41600 + ... + 46400.

It is an arithmetic number, because the mean of its divisors is an integer number (5899257).

Almost surely, 2211244000 is an apocalyptic number.

211244000 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 211244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283164336).

211244000 is an abundant number, since it is smaller than the sum of its proper divisors (355084672).

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

211244000 is a wasteful number, since it uses less digits than its factorization.

211244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 211244000 is about 14534.2354460082. The cubic root of 211244000 is about 595.5635740197.

Adding to 211244000 its reverse (442112), we get a palindrome (211686112).

The spelling of 211244000 in words is "two hundred eleven million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 4801 5500 8800 9602 11000 19204 22000 24005 38408 44000 48010 52811 76816 96020 105622 120025 153632 192040 211244 240050 264055 384080 422488 480100 528110 600125 768160 844976 960200 1056220 1200250 1320275 1689952 1920400 2112440 2400500 2640550 3840800 4224880 4801000 5281100 6601375 8449760 9602000 10562200 13202750 19204000 21124400 26405500 42248800 52811000 105622000 211244000