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202690656 = 25327253271
BaseRepresentation
bin11000001010011…
…01000001100000
3112010101202022100
430011031001200
5403342100111
632040210400
75010561600
oct1405150140
9463352270
10202690656
11a4460543
1257a69a00
1332cb9bcc
141ccc2c00
1512bdb756
hexc14d060

202690656 has 216 divisors, whose sum is σ = 685679904. Its totient is φ = 56609280.

The previous prime is 202690633. The next prime is 202690673. The reversal of 202690656 is 656096202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 202690656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 747801 + ... + 748071.

It is an arithmetic number, because the mean of its divisors is an integer number (3174444).

Almost surely, 2202690656 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 202690656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342839952).

202690656 is an abundant number, since it is smaller than the sum of its proper divisors (482989248).

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

202690656 is a wasteful number, since it uses less digits than its factorization.

202690656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 202690656 is about 14236.9468637064. The cubic root of 202690656 is about 587.4143829362.

The spelling of 202690656 in words is "two hundred two million, six hundred ninety thousand, six hundred fifty-six".