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211395072 = 293719661
BaseRepresentation
bin11001001100110…
…10001000000000
3112201202222112010
430212122020000
5413104120242
632550532520
75144554110
oct1446321000
9481688463
10211395072
11a9366279
125a967140
1334a46b55
142010b040
151385a89c
hexc99a200

211395072 has 80 divisors (see below), whose sum is σ = 643655232. Its totient is φ = 60395520.

The previous prime is 211395061. The next prime is 211395103. The reversal of 211395072 is 270593112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 20582.

Almost surely, 2211395072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321827616).

211395072 is an abundant number, since it is smaller than the sum of its proper divisors (432260160).

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

211395072 is an equidigital number, since it uses as much as digits as its factorization.

211395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19689 (or 19673 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 211395072 is about 14539.4316257548. The cubic root of 211395072 is about 595.7055134209.

The spelling of 211395072 in words is "two hundred eleven million, three hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 19661 39322 58983 78644 117966 137627 157288 235932 275254 314576 412881 471864 550508 629152 825762 943728 1101016 1258304 1651524 1887456 2202032 2516608 3303048 3774912 4404064 5033216 6606096 7549824 8808128 10066432 13212192 15099648 17616256 26424384 30199296 35232512 52848768 70465024 105697536 211395072