Search a number
-
+
202001220 = 223257315373
BaseRepresentation
bin11000000101001…
…00101101000100
3112002002201120200
430002210231010
5403203014340
632013330500
75001660561
oct1402445504
9462081520
10202001220
11a402a563
1257796a30
1332b08165
141cb83868
1512b02330
hexc0a4b44

202001220 has 72 divisors (see below), whose sum is σ = 621171096. Its totient is φ = 53125632.

The previous prime is 202001213. The next prime is 202001251. The reversal of 202001220 is 22100202.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 201867264 = 366^2 + 14208^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5454 + ... + 20826.

Almost surely, 2202001220 is an apocalyptic number.

202001220 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 202001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310585548).

202001220 is an abundant number, since it is smaller than the sum of its proper divisors (419169876).

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

202001220 is a wasteful number, since it uses less digits than its factorization.

202001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15461 (or 15456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202001220 is about 14212.7133229373. The cubic root of 202001220 is about 586.7476120806.

Adding to 202001220 its reverse (22100202), we get a palindrome (224101422).

The spelling of 202001220 in words is "two hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 15373 30746 46119 61492 76865 92238 138357 153730 184476 230595 276714 307460 461190 553428 691785 922380 1122229 1383570 2244458 2767140 3366687 4488916 5611145 6733374 10100061 11222290 13466748 16833435 20200122 22444580 33666870 40400244 50500305 67333740 101000610 202001220