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442420212 = 223134783727
BaseRepresentation
bin11010010111101…
…100101111110100
31010211111021102210
4122113230233310
51401224421322
6111522333420
713651336563
oct3227545764
91124437383
10442420212
11207809943
121041ba270
1370874910
1442a87bda
1528c9270c
hex1a5ecbf4

442420212 has 96 divisors (see below), whose sum is σ = 1150636032. Its totient is φ = 131446656.

The previous prime is 442420171. The next prime is 442420213. The reversal of 442420212 is 212024244.

It is a super-2 number, since 2×4424202122 = 391471287972249888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442420213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608193 + ... + 608919.

It is an arithmetic number, because the mean of its divisors is an integer number (11985792).

Almost surely, 2442420212 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 442420212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575318016).

442420212 is an abundant number, since it is smaller than the sum of its proper divisors (708215820).

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

442420212 is a wasteful number, since it uses less digits than its factorization.

442420212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 442420212 is about 21033.7873907673. The cubic root of 442420212 is about 761.9824811178.

Adding to 442420212 its reverse (212024244), we get a palindrome (654444456).

The spelling of 442420212 in words is "four hundred forty-two million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 83 94 141 156 166 188 249 282 332 498 564 611 727 996 1079 1222 1454 1833 2158 2181 2444 2908 3237 3666 3901 4316 4362 6474 7332 7802 8724 9451 11703 12948 15604 18902 23406 28353 34169 37804 46812 50713 56706 60341 68338 101426 102507 113412 120682 136676 152139 181023 202852 205014 241364 304278 362046 410028 444197 608556 724092 784433 888394 1332591 1568866 1776788 2353299 2665182 2836027 3137732 4706598 5330364 5672054 8508081 9413196 11344108 17016162 34032324 36868351 73736702 110605053 147473404 221210106 442420212