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211252992 = 283416709
BaseRepresentation
bin11001001011101…
…11011100000000
3112201111202121220
430211313130000
5413040043432
632543515040
75143422636
oct1445673400
9481452556
10211252992
11a9279555
125a8b8a80
13349c7292
14200b1356
151382d72c
hexc977700

211252992 has 72 divisors (see below), whose sum is σ = 576040080. Its totient is φ = 68689920.

The previous prime is 211252973. The next prime is 211253057. The reversal of 211252992 is 299252112.

It is a nialpdrome in base 16.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 28134 + ... + 34842.

Almost surely, 2211252992 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 211252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288020040).

211252992 is an abundant number, since it is smaller than the sum of its proper divisors (364787088).

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

211252992 is an equidigital number, since it uses as much as digits as its factorization.

211252992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6755 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 211252992 is about 14534.5447813132. The cubic root of 211252992 is about 595.5720243295.

The spelling of 211252992 in words is "two hundred eleven million, two hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 6709 7872 10496 13418 15744 20127 26836 31488 40254 53672 80508 107344 161016 214688 275069 322032 429376 550138 644064 825207 858752 1100276 1288128 1650414 1717504 2200552 2576256 3300828 4401104 5152512 6601656 8802208 13203312 17604416 26406624 35208832 52813248 70417664 105626496 211252992