Search a number
-
+
212140512 = 2533245533
BaseRepresentation
bin11001010010100…
…00000111100000
3112210011212002000
430221100013200
5413301444022
633014524000
75154110313
oct1451200740
9483155060
10212140512
11a9825341
125b066600
1334c4823c
142026297a
15139566ac
hexca501e0

212140512 has 48 divisors (see below), whose sum is σ = 618745680. Its totient is φ = 70713216.

The previous prime is 212140451. The next prime is 212140531. The reversal of 212140512 is 215041212.

212140512 is a `hidden beast` number, since 2 + 12 + 140 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121903 + ... + 123630.

It is an arithmetic number, because the mean of its divisors is an integer number (12890535).

Almost surely, 2212140512 is an apocalyptic number.

It is an amenable number.

212140512 is an abundant number, since it is smaller than the sum of its proper divisors (406605168).

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

212140512 is a wasteful number, since it uses less digits than its factorization.

212140512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245552 (or 245538 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212140512 is about 14565.0441811894. The cubic root of 212140512 is about 596.4049018054.

Adding to 212140512 its reverse (215041212), we get a palindrome (427181724).

The spelling of 212140512 in words is "two hundred twelve million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 245533 491066 736599 982132 1473198 1964264 2209797 2946396 3928528 4419594 5892792 6629391 7857056 8839188 11785584 13258782 17678376 23571168 26517564 35356752 53035128 70713504 106070256 212140512