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201350016 = 2733722941
BaseRepresentation
bin11000000000001…
…01101110000000
3112000212122022000
430000011232000
5403021200031
631551344000
74663306200
oct1400055600
9460778260
10201350016
11a372527a
1257522000
133293a92a
141ca54400
1512a243e6
hexc005b80

201350016 has 384 divisors, whose sum is σ = 732564000. Its totient is φ = 54190080.

The previous prime is 201350003. The next prime is 201350033. The reversal of 201350016 is 610053102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4910956 + ... + 4910996.

Almost surely, 2201350016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366282000).

201350016 is an abundant number, since it is smaller than the sum of its proper divisors (531213984).

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

201350016 is a wasteful number, since it uses less digits than its factorization.

201350016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 201350016 is about 14189.7856220593. The cubic root of 201350016 is about 586.1164216342.

The spelling of 201350016 in words is "two hundred one million, three hundred fifty thousand, sixteen".