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212004340 = 22523641719
BaseRepresentation
bin11001010001011…
…10110111110100
3112202220221021121
430220232313310
5413233114330
633011553324
75153002312
oct1450566764
9482827247
10212004340
11a9741aa9
125abbb844
1334bcb272
14202290b2
151392b17a
hexca2edf4

212004340 has 48 divisors (see below), whose sum is σ = 465937920. Its totient is φ = 80875520.

The previous prime is 212004301. The next prime is 212004347. The reversal of 212004340 is 43400212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212004347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294501 + ... + 295219.

It is an arithmetic number, because the mean of its divisors is an integer number (9707040).

Almost surely, 2212004340 is an apocalyptic number.

212004340 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 212004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232968960).

212004340 is an abundant number, since it is smaller than the sum of its proper divisors (253933580).

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

212004340 is a wasteful number, since it uses less digits than its factorization.

212004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212004340 is about 14560.3688140102. The cubic root of 212004340 is about 596.2772646549.

Adding to 212004340 its reverse (43400212), we get a palindrome (255404552).

The spelling of 212004340 in words is "two hundred twelve million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 641 719 1282 1438 2564 2876 3205 3595 6410 7190 12820 14380 14743 16537 29486 33074 58972 66148 73715 82685 147430 165370 294860 330740 460879 921758 1843516 2304395 4608790 9217580 10600217 21200434 42400868 53001085 106002170 212004340