Search a number
-
+
212463804 = 22373411259
BaseRepresentation
bin11001010100111…
…11000010111100
3112210210021112210
430222133002330
5413342320204
633025500420
75156625000
oct1452370274
9483707483
10212463804
11a9a26223
125b1a1710
133502c437
1420308700
15139bc389
hexca9f0bc

212463804 has 96 divisors (see below), whose sum is σ = 592704000. Its totient is φ = 59176320.

The previous prime is 212463749. The next prime is 212463809. The reversal of 212463804 is 408364212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212463809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168127 + ... + 169385.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2212463804 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 212463804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352000).

212463804 is an abundant number, since it is smaller than the sum of its proper divisors (380240196).

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

212463804 is a wasteful number, since it uses less digits than its factorization.

212463804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 212463804 is about 14576.1381716832. The cubic root of 212463804 is about 596.7077122220.

The spelling of 212463804 in words is "two hundred twelve million, four hundred sixty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 343 492 574 588 686 861 1029 1148 1259 1372 1722 2009 2058 2518 3444 3777 4018 4116 5036 6027 7554 8036 8813 12054 14063 15108 17626 24108 26439 28126 35252 42189 51619 52878 56252 61691 84378 103238 105756 123382 154857 168756 185073 206476 246764 309714 361333 370146 431837 619428 722666 740292 863674 1083999 1295511 1445332 1727348 2167998 2529331 2591022 4335996 5058662 5182044 7587993 10117324 15175986 17705317 30351972 35410634 53115951 70821268 106231902 212463804