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212133544 = 23721134789
BaseRepresentation
bin11001010010011…
…10011010101000
3112210011111111221
430221032122220
5413301233134
633014431424
75154051100
oct1451163250
9483144457
10212133544
11a9820087
125b062574
1334c4500c
1420260200
15139545b4
hexca4e6a8

212133544 has 48 divisors (see below), whose sum is σ = 466881300. Its totient is φ = 90091008.

The previous prime is 212133503. The next prime is 212133563. The reversal of 212133544 is 445331212.

It can be written as a sum of positive squares in 2 ways, for example, as 147331044 + 64802500 = 12138^2 + 8050^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41902 + ... + 46690.

Almost surely, 2212133544 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 212133544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233440650).

212133544 is an abundant number, since it is smaller than the sum of its proper divisors (254747756).

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

212133544 is a wasteful number, since it uses less digits than its factorization.

212133544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4911 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 212133544 is about 14564.8049763806. The cubic root of 212133544 is about 596.3983718647.

Adding to 212133544 its reverse (445331212), we get a palindrome (657464756).

The spelling of 212133544 in words is "two hundred twelve million, one hundred thirty-three thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 791 904 1582 3164 4789 5537 6328 9578 11074 19156 22148 33523 38312 44296 67046 134092 234661 268184 469322 541157 938644 1082314 1877288 2164628 3788099 4329256 7576198 15152396 26516693 30304792 53033386 106066772 212133544