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212411304 = 233274011051
BaseRepresentation
bin11001010100100…
…10001110101000
3112210200121112100
430222102032220
5413334130204
633024413400
75156315640
oct1452221650
9483617470
10212411304
11a999a836
125b177260
1335011581
14202d3520
15139aba39
hexca923a8

212411304 has 96 divisors (see below), whose sum is σ = 659730240. Its totient is φ = 60480000.

The previous prime is 212411293. The next prime is 212411323. The reversal of 212411304 is 403114212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201579 + ... + 202629.

It is an arithmetic number, because the mean of its divisors is an integer number (6872190).

Almost surely, 2212411304 is an apocalyptic number.

212411304 is a gapful number since it is divisible by the number (24) 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 212411304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329865120).

212411304 is an abundant number, since it is smaller than the sum of its proper divisors (447318936).

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

212411304 is a wasteful number, since it uses less digits than its factorization.

212411304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212411304 is about 14574.3371718922. The cubic root of 212411304 is about 596.6585591663.

Adding to 212411304 its reverse (403114212), we get a palindrome (615525516).

The spelling of 212411304 in words is "two hundred twelve million, four hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 401 504 802 1051 1203 1604 2102 2406 2807 3153 3208 3609 4204 4812 5614 6306 7218 7357 8408 8421 9459 9624 11228 12612 14436 14714 16842 18918 22071 22456 25224 25263 28872 29428 33684 37836 44142 50526 58856 66213 67368 75672 88284 101052 132426 176568 202104 264852 421451 529704 842902 1264353 1685804 2528706 2950157 3371608 3793059 5057412 5900314 7586118 8850471 10114824 11800628 15172236 17700942 23601256 26551413 30344472 35401884 53102826 70803768 106205652 212411304