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11222312200 = 23521147108533
BaseRepresentation
bin10100111001110011…
…01110010100001000
31001222002202112020121
422130321232110020
5140440402442300
65053325033024
7545046036241
oct123471562410
931862675217
1011222312200
114839780290
1222123b5774
13109acc4628
1478661dcc8
1545a35481a
hex29ce6e508

11222312200 has 96 divisors (see below), whose sum is σ = 29069746560. Its totient is φ = 3993977600.

The previous prime is 11222312197. The next prime is 11222312243. The reversal of 11222312200 is 221322211.

It is a happy number.

It is a super-2 number, since 2×112223122002 (a number of 21 digits) contains 22 as substring.

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, 49134 + ... + 157666.

It is an arithmetic number, because the mean of its divisors is an integer number (302809860).

Almost surely, 211222312200 is an apocalyptic number.

11222312200 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 11222312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534873280).

11222312200 is an abundant number, since it is smaller than the sum of its proper divisors (17847434360).

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

11222312200 is a wasteful number, since it uses less digits than its factorization.

11222312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108607 (or 108598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11222312200 its reverse (221322211), we get a palindrome (11443634411).

The spelling of 11222312200 in words is "eleven billion, two hundred twenty-two million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 108533 217066 434132 542665 868264 1085330 1193863 2170660 2387726 2713325 4341320 4775452 5101051 5426650 5969315 9550904 10202102 10853300 11938630 20404204 21706600 23877260 25505255 29846575 40808408 47754520 51010510 56111561 59693150 102021020 112223122 119386300 127526275 204042040 224446244 238772600 255052550 280557805 448892488 510105100 561115610 1020210200 1122231220 1402789025 2244462440 2805578050 5611156100 11222312200