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212422304 = 2553251499
BaseRepresentation
bin11001010100101…
…00111010100000
3112210201011121202
430222110322200
5413340003204
633024540332
75156363003
oct1452247240
9483634552
10212422304
11a99a8026
125b1816a8
1335016593
14202d753a
15139aee1e
hexca94ea0

212422304 has 48 divisors (see below), whose sum is σ = 428652000. Its totient is φ = 103584000.

The previous prime is 212422289. The next prime is 212422307. The reversal of 212422304 is 403224212.

It is not an unprimeable number, because it can be changed into a prime (212422307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425447 + ... + 425945.

It is an arithmetic number, because the mean of its divisors is an integer number (8930250).

Almost surely, 2212422304 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 212422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214326000).

212422304 is an abundant number, since it is smaller than the sum of its proper divisors (216229696).

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

212422304 is a wasteful number, since it uses less digits than its factorization.

212422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 212422304 is about 14574.7145426591. The cubic root of 212422304 is about 596.6688585724.

Adding to 212422304 its reverse (403224212), we get a palindrome (615646516).

The spelling of 212422304 in words is "two hundred twelve million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 106 212 251 424 499 502 848 998 1004 1696 1996 2008 3992 4016 7984 8032 13303 15968 26447 26606 52894 53212 105788 106424 125249 211576 212848 250498 423152 425696 500996 846304 1001992 2003984 4007968 6638197 13276394 26552788 53105576 106211152 212422304