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211070000 = 245421107
BaseRepresentation
bin11001001010010…
…10110000110000
3112201011110121102
430211022300300
5413013220000
632535543532
75142031301
oct1445126060
9481143542
10211070000
11a9164019
125a82aba8
1334961bbb
14200647a8
15137e43d5
hexc94ac30

211070000 has 50 divisors (see below), whose sum is σ = 511045788. Its totient is φ = 84424000.

The previous prime is 211069939. The next prime is 211070003. The reversal of 211070000 is 70112.

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (211070003) 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 9 ways as a sum of consecutive naturals, for example, 554 + ... + 20553.

Almost surely, 2211070000 is an apocalyptic number.

211070000 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 211070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255522894).

211070000 is an abundant number, since it is smaller than the sum of its proper divisors (299975788).

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

211070000 is an equidigital number, since it uses as much as digits as its factorization.

211070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21135 (or 21114 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 211070000 is about 14528.2483458950. The cubic root of 211070000 is about 595.4000087785.

The spelling of 211070000 in words is "two hundred eleven million, seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21107 42214 84428 105535 168856 211070 337712 422140 527675 844280 1055350 1688560 2110700 2638375 4221400 5276750 8442800 10553500 13191875 21107000 26383750 42214000 52767500 105535000 211070000