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202593930 = 235721121767
BaseRepresentation
bin11000001001101…
…01011010001010
3112010012211121220
430010311122022
5403331001210
632034142510
75010006600
oct1404653212
9463184556
10202593930
11a43a4900
1257a21a36
1332c84b86
141cc99870
1512bbcc70
hexc13568a

202593930 has 288 divisors, whose sum is σ = 668098368. Its totient is φ = 39029760.

The previous prime is 202593929. The next prime is 202593949. The reversal of 202593930 is 39395202.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 202593891 and 202593900.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3023757 + ... + 3023823.

It is an arithmetic number, because the mean of its divisors is an integer number (2319786).

Almost surely, 2202593930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202593930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334049184).

202593930 is an abundant number, since it is smaller than the sum of its proper divisors (465504438).

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

202593930 is a wasteful number, since it uses less digits than its factorization.

202593930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 202593930 is about 14233.5494519111. The cubic root of 202593930 is about 587.3209280706.

The spelling of 202593930 in words is "two hundred two million, five hundred ninety-three thousand, nine hundred thirty".