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11222332220 = 22511412714591
BaseRepresentation
bin10100111001110011…
…10011001100111100
31001222002210112201002
422130321303030330
5140440404112340
65053325305432
7545046151511
oct123471631474
931862715632
1011222332220
114839794330
122212405278
13109b000788
14786627308
1545a35a715
hex29ce7333c

11222332220 has 96 divisors (see below), whose sum is σ = 26439340032. Its totient is φ = 3965760000.

The previous prime is 11222332181. The next prime is 11222332223. The reversal of 11222332220 is 2223322211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11222332192 and 11222332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222332223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2442125 + ... + 2446715.

It is an arithmetic number, because the mean of its divisors is an integer number (275409792).

Almost surely, 211222332220 is an apocalyptic number.

11222332220 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 11222332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219670016).

11222332220 is an abundant number, since it is smaller than the sum of its proper divisors (15217007812).

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

11222332220 is a wasteful number, since it uses less digits than its factorization.

11222332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11222332220 its reverse (2223322211), we get a palindrome (13445654431).

It can be divided in two parts, 1 and 1222332220, that added together give a palindrome (1222332221).

The spelling of 11222332220 in words is "eleven billion, two hundred twenty-two million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 4591 5420 5962 9020 9182 11111 11924 14905 18364 22222 22955 29810 44444 45910 50501 55555 59620 91820 101002 111110 122221 188231 202004 222220 244442 252505 376462 488884 505010 611105 752924 941155 1010020 1222210 1244161 1882310 2070541 2444420 2488322 3764620 4141082 4976644 6220805 8282164 10352705 12441610 13685771 20705410 24883220 27371542 41410820 51010601 54743084 68428855 102021202 136857710 204042404 255053005 273715420 510106010 561116611 1020212020 1122233222 2244466444 2805583055 5611166110 11222332220