Search a number
-
+
212144520 = 233572109331
BaseRepresentation
bin11001010010100…
…01000110001000
3112210012001120110
430221101012020
5413302111040
633014554320
75154125100
oct1451210610
9483161513
10212144520
11a9828355
125b0689a0
1334c4a003
1420264200
1513957980
hexca51188

212144520 has 192 divisors, whose sum is σ = 749390400. Its totient is φ = 47900160.

The previous prime is 212144509. The next prime is 212144549. The reversal of 212144520 is 25441212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640755 + ... + 641085.

It is an arithmetic number, because the mean of its divisors is an integer number (3903075).

Almost surely, 2212144520 is an apocalyptic number.

212144520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374695200).

212144520 is an abundant number, since it is smaller than the sum of its proper divisors (537245880).

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

212144520 is a wasteful number, since it uses less digits than its factorization.

212144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 212144520 is about 14565.1817702355. The cubic root of 212144520 is about 596.4086577685.

Adding to 212144520 its reverse (25441212), we get a palindrome (237585732).

The spelling of 212144520 in words is "two hundred twelve million, one hundred forty-four thousand, five hundred twenty".