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211463300 = 225215713469
BaseRepresentation
bin11001001101010…
…10110010000100
3112201220110010002
430212222302010
5413113311200
632552220432
75145260036
oct1446526204
9481813102
10211463300
11a9402564
125a99a718
1334a6bc19
1420127c56
1513870bd5
hexc9aac84

211463300 has 36 divisors (see below), whose sum is σ = 461832420. Its totient is φ = 84040320.

The previous prime is 211463299. The next prime is 211463303. The reversal of 211463300 is 3364112.

It can be written as a sum of positive squares in 6 ways, for example, as 6801664 + 204661636 = 2608^2 + 14306^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211463303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8966 + ... + 22434.

Almost surely, 2211463300 is an apocalyptic number.

211463300 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 211463300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230916210).

211463300 is an abundant number, since it is smaller than the sum of its proper divisors (250369120).

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

211463300 is a wasteful number, since it uses less digits than its factorization.

211463300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13640 (or 13633 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 211463300 is about 14541.7777455165. Note that the first 4 decimals coincide. The cubic root of 211463300 is about 595.7695947381.

The spelling of 211463300 in words is "two hundred eleven million, four hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 13469 15700 26938 53876 67345 134690 269380 336725 673450 1346900 2114633 4229266 8458532 10573165 21146330 42292660 52865825 105731650 211463300