Search a number
-
+
212005192 = 23719210487
BaseRepresentation
bin11001010001011…
…11000101001000
3112202220222110011
430220233011020
5413233131232
633012001304
75153004640
oct1450570510
9482828404
10212005192
11a9742703
125b000234
1334bcb779
1420229520
151392b547
hexca2f148

212005192 has 48 divisors (see below), whose sum is σ = 479511360. Its totient is φ = 86069088.

The previous prime is 212005177. The next prime is 212005193. The reversal of 212005192 is 291500212.

It is not an unprimeable number, because it can be changed into a prime (212005193) 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, 14973 + ... + 25459.

It is an arithmetic number, because the mean of its divisors is an integer number (9989820).

Almost surely, 2212005192 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 212005192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239755680).

212005192 is an abundant number, since it is smaller than the sum of its proper divisors (267506168).

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

212005192 is a wasteful number, since it uses less digits than its factorization.

212005192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 212005192 is about 14560.3980714814. The cubic root of 212005192 is about 596.2780634240.

The spelling of 212005192 in words is "two hundred twelve million, five thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2527 2888 5054 10108 10487 20216 20974 41948 73409 83896 146818 199253 293636 398506 587272 797012 1394771 1594024 2789542 3785807 5579084 7571614 11158168 15143228 26500649 30286456 53001298 106002596 212005192