Search a number
-
+
202201020 = 223257383419
BaseRepresentation
bin11000000110101…
…01011110111100
3112002110212122200
430003111132330
5403230413040
632021511500
75003452230
oct1403253674
9462425580
10202201020
11a415668a
1257872590
1332b78098
141cbd65c0
1512b41630
hexc0d57bc

202201020 has 144 divisors (see below), whose sum is σ = 704471040. Its totient is φ = 45986688.

The previous prime is 202200991. The next prime is 202201039. The reversal of 202201020 is 20102202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202200993 and 202201011.

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, 482371 + ... + 482789.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2202201020 is an apocalyptic number.

202201020 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 202201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

202201020 is an abundant number, since it is smaller than the sum of its proper divisors (502270020).

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

202201020 is a wasteful number, since it uses less digits than its factorization.

202201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

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

The square root of 202201020 is about 14219.7405039614. The cubic root of 202201020 is about 586.9409995967.

Adding to 202201020 its reverse (20102202), we get a palindrome (222303222).

The spelling of 202201020 in words is "two hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 383 419 420 630 766 838 1149 1257 1260 1532 1676 1915 2095 2298 2514 2681 2933 3447 3771 3830 4190 4596 5028 5362 5745 5866 6285 6894 7542 7660 8043 8380 8799 10724 11490 11732 12570 13405 13788 14665 15084 16086 17235 17598 18855 22980 24129 25140 26397 26810 29330 32172 34470 35196 37710 40215 43995 48258 52794 53620 58660 68940 75420 80430 87990 96516 105588 120645 131985 160477 160860 175980 241290 263970 320954 481431 482580 527940 641908 802385 962862 1123339 1444293 1604770 1925724 2246678 2407155 2888586 3209540 3370017 4493356 4814310 5616695 5777172 6740034 7221465 9628620 10110051 11233390 13480068 14442930 16850085 20220102 22466780 28885860 33700170 40440204 50550255 67400340 101100510 202201020