Search a number
-
+
11204220 = 2235232353
BaseRepresentation
bin101010101111…
…011001111100
3210002020022010
4222233121330
510332013340
61040051220
7164143236
oct52573174
923066263
1011204220
116362995
123903b10
132423a21
1416b9256
15eb4b80
hexaaf67c

11204220 has 72 divisors (see below), whose sum is σ = 32888016. Its totient is φ = 2849792.

The previous prime is 11204213. The next prime is 11204231. The reversal of 11204220 is 2240211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11204196 and 11204205.

It is a congruent number.

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, 31564 + ... + 31916.

It is an arithmetic number, because the mean of its divisors is an integer number (456778).

Almost surely, 211204220 is an apocalyptic number.

11204220 is a gapful number since it is divisible by the number (10) 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 11204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444008).

11204220 is an abundant number, since it is smaller than the sum of its proper divisors (21683796).

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

11204220 is a wasteful number, since it uses less digits than its factorization.

11204220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11204220 is about 3347.2705298497. The cubic root of 11204220 is about 223.7658852885.

Adding to 11204220 its reverse (2240211), we get a palindrome (13444431).

The spelling of 11204220 in words is "eleven million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 353 460 529 690 706 1058 1059 1380 1412 1587 1765 2116 2118 2645 3174 3530 4236 5290 5295 6348 7060 7935 8119 10580 10590 15870 16238 21180 24357 31740 32476 40595 48714 81190 97428 121785 162380 186737 243570 373474 487140 560211 746948 933685 1120422 1867370 2240844 2801055 3734740 5602110 11204220