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11220302220 = 22351819471091
BaseRepresentation
bin10100111001100100…
…00011100110001100
31001221221222102001220
422130302003212030
5140434344132340
65053214003340
7545022665241
oct123462034614
931857872056
1011220302220
114838628146
1222117a6550
13109a76c7aa
147862595c8
1545a0a8ed0
hex29cc8398c

11220302220 has 96 divisors (see below), whose sum is σ = 31652764416. Its totient is φ = 2969683200.

The previous prime is 11220302189. The next prime is 11220302227. The reversal of 11220302220 is 2220302211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220302220.

It is not an unprimeable number, because it can be changed into a prime (11220302227) 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, 10283875 + ... + 10284965.

It is an arithmetic number, because the mean of its divisors is an integer number (329716296).

Almost surely, 211220302220 is an apocalyptic number.

11220302220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220302220 is an abundant number, since it is smaller than the sum of its proper divisors (20432462196).

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

11220302220 is a wasteful number, since it uses less digits than its factorization.

11220302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11220302220 its reverse (2220302211), we get a palindrome (13440604431).

Subtracting from 11220302220 its reverse (2220302211), we obtain a palindrome (9000000009).

It can be divided in two parts, 1122030 and 2220, that added together give a triangular number (1124250 = T1499).

The spelling of 11220302220 in words is "eleven billion, two hundred twenty million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 947 1086 1091 1810 1894 2172 2182 2715 2841 3273 3620 3788 4364 4735 5430 5455 5682 6546 9470 10860 10910 11364 13092 14205 16365 18940 21820 28410 32730 56820 65460 171407 197471 342814 394942 514221 592413 685628 789884 857035 987355 1028442 1033177 1184826 1714070 1974710 2056884 2066354 2369652 2571105 2962065 3099531 3428140 3949420 4132708 5142210 5165885 5924130 6199062 10284420 10331770 11848260 12398124 15497655 20663540 30995310 61990620 187005037 374010074 561015111 748020148 935025185 1122030222 1870050370 2244060444 2805075555 3740100740 5610151110 11220302220