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201245352 = 233721147331
BaseRepresentation
bin10111111111011…
…00001010101000
3112000200022201120
423333230022220
5403004322402
631545215240
74662362100
oct1377541250
9460608646
10201245352
11a3663680
1257491520
13329020b9
141ca28200
1512a033bc
hexbfec2a8

201245352 has 192 divisors, whose sum is σ = 654013440. Its totient is φ = 51004800.

The previous prime is 201245339. The next prime is 201245353. The reversal of 201245352 is 253542102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201245353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607827 + ... + 608157.

It is an arithmetic number, because the mean of its divisors is an integer number (3406320).

Almost surely, 2201245352 is an apocalyptic number.

201245352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201245352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327006720).

201245352 is an abundant number, since it is smaller than the sum of its proper divisors (452768088).

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

201245352 is a wasteful number, since it uses less digits than its factorization.

201245352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 201245352 is about 14186.0971376908. The cubic root of 201245352 is about 586.0148473992.

Adding to 201245352 its reverse (253542102), we get a palindrome (454787454).

The spelling of 201245352 in words is "two hundred one million, two hundred forty-five thousand, three hundred fifty-two".