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212500640 = 25511120739
BaseRepresentation
bin11001010101010…
…00000010100000
3112210212011002002
430222220002200
5413400010030
633030343132
75160140252
oct1452500240
9483764062
10212500640
11a9a50970
125b1baaa8
1335043131
1420317cd2
15139c8245
hexcaa80a0

212500640 has 48 divisors (see below), whose sum is σ = 547676640. Its totient is φ = 77272320.

The previous prime is 212500601. The next prime is 212500643. The reversal of 212500640 is 46005212.

It is a happy number.

212500640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212500643) 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, 58610 + ... + 62129.

It is an arithmetic number, because the mean of its divisors is an integer number (11409930).

Almost surely, 2212500640 is an apocalyptic number.

212500640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212500640 is an abundant number, since it is smaller than the sum of its proper divisors (335176000).

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

212500640 is a wasteful number, since it uses less digits than its factorization.

212500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120765 (or 120757 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212500640 is about 14577.4016889156. The cubic root of 212500640 is about 596.7421950448.

Adding to 212500640 its reverse (46005212), we get a palindrome (258505852).

The spelling of 212500640 in words is "two hundred twelve million, five hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 120739 241478 482956 603695 965912 1207390 1328129 1931824 2414780 2656258 3863648 4829560 5312516 6640645 9659120 10625032 13281290 19318240 21250064 26562580 42500128 53125160 106250320 212500640