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214212570 = 2351113223167
BaseRepresentation
bin11001100010010…
…01111111011010
3112221002010101220
430301021333122
5414314300240
633131152510
75210530305
oct1461117732
9487063356
10214212570
11aaa10090
125b8a5736
13354c2400
1420641b3c
1513c155d0
hexcc49fda

214212570 has 192 divisors, whose sum is σ = 637507584. Its totient is φ = 45576960.

The previous prime is 214212533. The next prime is 214212599. The reversal of 214212570 is 75212412.

214212570 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214212570.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1282627 + ... + 1282793.

It is an arithmetic number, because the mean of its divisors is an integer number (3320352).

Almost surely, 2214212570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214212570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318753792).

214212570 is an abundant number, since it is smaller than the sum of its proper divisors (423295014).

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

214212570 is a wasteful number, since it uses less digits than its factorization.

214212570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 214212570 is about 14636.0025280129. The cubic root of 214212570 is about 598.3403859233.

Adding to 214212570 its reverse (75212412), we get a palindrome (289424982).

The spelling of 214212570 in words is "two hundred fourteen million, two hundred twelve thousand, five hundred seventy".