Search a number
-
+
203342022 = 23313476163
BaseRepresentation
bin11000001111011…
…00000011000110
3112011121211211000
430013230003012
5404023421042
632102154130
75016243612
oct1407540306
9464554730
10203342022
11a4865964
1258122946
1333187530
141d012342
1512cb974c
hexc1ec0c6

203342022 has 64 divisors (see below), whose sum is σ = 497064960. Its totient is φ = 61225632.

The previous prime is 203342017. The next prime is 203342023. The reversal of 203342022 is 220243302.

It is a super-2 number, since 2×2033420222 = 82695955822096968, which contains 22 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 = 203341986 and 203342004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203342023) 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, 29913 + ... + 36075.

It is an arithmetic number, because the mean of its divisors is an integer number (7766640).

Almost surely, 2203342022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203342022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248532480).

203342022 is an abundant number, since it is smaller than the sum of its proper divisors (293722938).

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

203342022 is a wasteful number, since it uses less digits than its factorization.

203342022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 203342022 is about 14259.8044166110. The cubic root of 203342022 is about 588.0429477168.

Adding to 203342022 its reverse (220243302), we get a palindrome (423585324).

It can be divided in two parts, 203 and 342022, that added together give a square (342225 = 5852).

The spelling of 203342022 in words is "two hundred three million, three hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 611 702 846 1222 1269 1833 2538 3666 5499 6163 10998 12326 16497 18489 32994 36978 55467 80119 110934 160238 166401 240357 289661 332802 480714 579322 721071 868983 1442142 1737966 2163213 2606949 3765593 4326426 5213898 7531186 7820847 11296779 15641694 22593558 33890337 67780674 101671011 203342022