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202424442 = 231119337479
BaseRepresentation
bin11000001000011…
…00000001111010
3112002220020010120
430010030001322
5403310040232
632030354110
75005402503
oct1404140172
9462806116
10202424442
11a4299530
125795b936
1332c2599c
141cc53baa
1512b8792c
hexc10c07a

202424442 has 64 divisors (see below), whose sum is σ = 467251200. Its totient is φ = 57818880.

The previous prime is 202424429. The next prime is 202424473. The reversal of 202424442 is 244424202.

It is a super-2 number, since 2×2024244422 = 81951309438022728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422359 + ... + 422837.

It is an arithmetic number, because the mean of its divisors is an integer number (7300800).

Almost surely, 2202424442 is an apocalyptic number.

202424442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202424442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233625600).

202424442 is an abundant number, since it is smaller than the sum of its proper divisors (264826758).

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

202424442 is a wasteful number, since it uses less digits than its factorization.

202424442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 202424442 is about 14227.5943855594. The cubic root of 202424442 is about 587.1571001588.

Adding to 202424442 its reverse (244424202), we get a palindrome (446848644).

The spelling of 202424442 in words is "two hundred two million, four hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 337 418 479 627 674 958 1011 1254 1437 2022 2874 3707 5269 6403 7414 9101 10538 11121 12806 15807 18202 19209 22242 27303 31614 38418 54606 70433 100111 140866 161423 200222 211299 300333 322846 422598 484269 600666 968538 1775653 3067037 3551306 5326959 6134074 9201111 10653918 18402222 33737407 67474814 101212221 202424442