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202226868 = 2234897013
BaseRepresentation
bin11000000110110…
…11110010110100
3112002112012010000
430003123302310
5403232224433
632022231300
75003620464
oct1403336264
9462465100
10202226868
11a4174048
1257885530
1332b86a8c
141cc01ba4
1512b49113
hexc0dbcb4

202226868 has 60 divisors (see below), whose sum is σ = 534677220. Its totient is φ = 66642048.

The previous prime is 202226821. The next prime is 202226911. The reversal of 202226868 is 868622202.

202226868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105637284 + 96589584 = 10278^2 + 9828^2 .

It is a super-2 number, since 2×2022268682 = 81791412282178848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25330 + ... + 32342.

It is an arithmetic number, because the mean of its divisors is an integer number (8911287).

Almost surely, 2202226868 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 202226868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267338610).

202226868 is an abundant number, since it is smaller than the sum of its proper divisors (332450352).

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

202226868 is a wasteful number, since it uses less digits than its factorization.

202226868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 202226868 is about 14220.6493522624. The cubic root of 202226868 is about 586.9660087098.

The spelling of 202226868 in words is "two hundred two million, two hundred twenty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 1068 1602 2403 3204 4806 7013 7209 9612 14026 14418 21039 28052 28836 42078 63117 84156 126234 189351 252468 378702 568053 624157 757404 1136106 1248314 1872471 2272212 2496628 3744942 5617413 7489884 11234826 16852239 22469652 33704478 50556717 67408956 101113434 202226868