Search a number
-
+
202343220 = 223253493221
BaseRepresentation
bin11000000111110…
…00001100110100
3112002202002201100
430003320030310
5403244440340
632024530100
75004613632
oct1403701464
9462662640
10202343220
11a4243502
1257920930
1332bc7a21
141cc32352
1512b6d830
hexc0f8334

202343220 has 72 divisors (see below), whose sum is σ = 615724200. Its totient is φ = 53786880.

The previous prime is 202343203. The next prime is 202343221. The reversal of 202343220 is 22343202.

It can be written as a sum of positive squares in 4 ways, for example, as 62062884 + 140280336 = 7878^2 + 11844^2 .

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 = 202343193 and 202343202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202343221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61210 + ... + 64430.

It is an arithmetic number, because the mean of its divisors is an integer number (8551725).

Almost surely, 2202343220 is an apocalyptic number.

202343220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202343220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307862100).

202343220 is an abundant number, since it is smaller than the sum of its proper divisors (413380980).

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

202343220 is a wasteful number, since it uses less digits than its factorization.

202343220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3580 counting only the distinct ones).

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

The square root of 202343220 is about 14224.7397164236. The cubic root of 202343220 is about 587.0785581714.

Subtracting from 202343220 its sum of digits (18), we obtain a palindrome (202343202).

Adding to 202343220 its reverse (22343202), we get a palindrome (224686422).

The spelling of 202343220 in words is "two hundred two million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 349 698 1047 1396 1745 2094 3141 3221 3490 4188 5235 6282 6442 6980 9663 10470 12564 12884 15705 16105 19326 20940 28989 31410 32210 38652 48315 57978 62820 64420 96630 115956 144945 193260 289890 579780 1124129 2248258 3372387 4496516 5620645 6744774 10117161 11241290 13489548 16861935 20234322 22482580 33723870 40468644 50585805 67447740 101171610 202343220