Search a number
-
+
212422002 = 231313120789
BaseRepresentation
bin11001010100101…
…00110101110010
3112210201011012120
430222110311302
5413340001002
633024535110
75156362062
oct1452246562
9483634176
10212422002
11a99a7881
125b181496
13350163c0
14202d73a2
15139aecbc
hexca94d72

212422002 has 32 divisors (see below), whose sum is σ = 461039040. Its totient is φ = 64858560.

The previous prime is 212421977. The next prime is 212422051. The reversal of 212422002 is 200224212.

212422002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 20612.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2212422002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212422002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

212422002 is an abundant number, since it is smaller than the sum of its proper divisors (248617038).

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

212422002 is a wasteful number, since it uses less digits than its factorization.

212422002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20938.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 212422002 is about 14574.7041822467. The cubic root of 212422002 is about 596.6685758117.

Adding to 212422002 its reverse (200224212), we get a palindrome (412646214).

The spelling of 212422002 in words is "two hundred twelve million, four hundred twenty-two thousand, two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 3406 5109 10218 20789 41578 62367 124734 270257 540514 810771 1621542 2723359 5446718 8170077 16340154 35403667 70807334 106211001 212422002