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213043216 = 24412892
BaseRepresentation
bin11001011001011…
…00100000010000
3112211212201100111
430230230200100
5414014340331
633050131104
75164560151
oct1454544020
9484781314
10213043216
11aa291581
125b420a94
13351a3099
1420419928
1513a83db1
hexcb2c810

213043216 has 45 divisors (see below), whose sum is σ = 427891543. Its totient is φ = 102755840.

The previous prime is 213043213. The next prime is 213043223. The reversal of 213043216 is 612340312.

The square root of 213043216 is 14596.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 129868816 + 83174400 = 11396^2 + 9120^2 .

It is a super-4 number, since 4×2130432164 (a number of 34 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213043213) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2393700 + ... + 2393788.

Almost surely, 2213043216 is an apocalyptic number.

213043216 is the 14596-th square number.

It is an amenable number.

213043216 is an abundant number, since it is smaller than the sum of its proper divisors (214848327).

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

213043216 is an frugal number, since it uses more digits than its factorization.

213043216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The cubic root of 213043216 is about 597.2496489156.

Adding to 213043216 its reverse (612340312), we get a palindrome (825383528).

The spelling of 213043216 in words is "two hundred thirteen million, forty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 41 82 89 164 178 328 356 656 712 1424 1681 3362 3649 6724 7298 7921 13448 14596 15842 26896 29192 31684 58384 63368 126736 149609 299218 324761 598436 649522 1196872 1299044 2393744 2598088 5196176 13315201 26630402 53260804 106521608 213043216