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204220422 = 232717671423
BaseRepresentation
bin11000010110000…
…10100000000110
3112020021110202100
430023002200012
5404240023142
632133052530
75026562550
oct1413024006
9466243670
10204220422
11a530590a
1258487146
13334042b3
141d1a04d0
1512ddeb4c
hexc2c2806

204220422 has 96 divisors (see below), whose sum is σ = 543808512. Its totient is φ = 54058752.

The previous prime is 204220411. The next prime is 204220463. The reversal of 204220422 is 224022402.

204220422 is a `hidden beast` number, since 20 + 4 + 220 + 422 = 666.

It is a super-3 number, since 3×2042204223 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204220395 and 204220404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142803 + ... + 144225.

It is an arithmetic number, because the mean of its divisors is an integer number (5664672).

Almost surely, 2204220422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204220422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271904256).

204220422 is an abundant number, since it is smaller than the sum of its proper divisors (339588090).

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

204220422 is a wasteful number, since it uses less digits than its factorization.

204220422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204220422 is about 14290.5710872589. The cubic root of 204220422 is about 588.8884770352. Note that the first 3 decimals are identical.

Adding to 204220422 its reverse (224022402), we get a palindrome (428242824).

The spelling of 204220422 in words is "two hundred four million, two hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 67 102 119 126 134 153 201 238 306 357 402 469 603 714 938 1071 1139 1206 1407 1423 2142 2278 2814 2846 3417 4221 4269 6834 7973 8442 8538 9961 10251 12807 15946 19922 20502 23919 24191 25614 29883 47838 48382 59766 71757 72573 89649 95341 143514 145146 169337 179298 190682 217719 286023 338674 435438 508011 572046 667387 858069 1016022 1334774 1524033 1620797 1716138 2002161 3048066 3241594 4004322 4862391 6006483 9724782 11345579 12012966 14587173 22691158 29174346 34036737 68073474 102110211 204220422