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202840830 = 232513716451
BaseRepresentation
bin11000001011100…
…01101011111110
3112010200101022100
430011301223332
5403411401310
632043325530
75012055453
oct1405615376
9463611270
10202840830
11a4553355
1257b208a6
133304037a
141cd2182a
1512c1aec0
hexc171afe

202840830 has 48 divisors (see below), whose sum is σ = 531267984. Its totient is φ = 53692800.

The previous prime is 202840829. The next prime is 202840837. The reversal of 202840830 is 38048202.

It is a super-2 number, since 2×2028408302 = 82288804630177800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202840794 and 202840803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202840837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4105 + ... + 20555.

It is an arithmetic number, because the mean of its divisors is an integer number (11068083).

Almost surely, 2202840830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202840830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265633992).

202840830 is an abundant number, since it is smaller than the sum of its proper divisors (328427154).

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

202840830 is a wasteful number, since it uses less digits than its factorization.

202840830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 202840830 is about 14242.2199814495. The cubic root of 202840830 is about 587.5594193712.

The spelling of 202840830 in words is "two hundred two million, eight hundred forty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 16451 32902 49353 82255 98706 148059 164510 246765 296118 493530 740295 1480590 2253787 4507574 6761361 11268935 13522722 20284083 22537870 33806805 40568166 67613610 101420415 202840830