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212620640 = 2551969941
BaseRepresentation
bin11001010110001…
…01010101100000
3112211002020200112
430223011111200
5413412330030
633033110452
75161150151
oct1453052540
9484066615
10212620640
11aa023041
125b258428
133508593b
1420349928
15139eda95
hexcac5560

212620640 has 48 divisors (see below), whose sum is σ = 528761520. Its totient is φ = 80570880.

The previous prime is 212620637. The next prime is 212620643. The reversal of 212620640 is 46026212.

212620640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212620637) and next prime (212620643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212620643) 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, 31931 + ... + 38010.

It is an arithmetic number, because the mean of its divisors is an integer number (11015865).

Almost surely, 2212620640 is an apocalyptic number.

212620640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212620640 is an abundant number, since it is smaller than the sum of its proper divisors (316140880).

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

212620640 is a wasteful number, since it uses less digits than its factorization.

212620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69975 (or 69967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 212620640 is about 14581.5170678500. The cubic root of 212620640 is about 596.8545015118.

Adding to 212620640 its reverse (46026212), we get a palindrome (258646852).

The spelling of 212620640 in words is "two hundred twelve million, six hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 69941 139882 279764 349705 559528 699410 1119056 1328879 1398820 2238112 2657758 2797640 5315516 5595280 6644395 10631032 11190560 13288790 21262064 26577580 42524128 53155160 106310320 212620640