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1222133100 = 2235243211449
BaseRepresentation
bin100100011011000…
…0100010101101100
310011011122210102220
41020312010111230
510000331224400
6321134315340
742166650156
oct11066042554
93134583386
101222133100
11577953761
122a1358b50
131662737a6
14b8451ad6
157245d7a0
hex48d8456c

1222133100 has 144 divisors (see below), whose sum is σ = 3643516800. Its totient is φ = 316108800.

The previous prime is 1222133093. The next prime is 1222133149. The reversal of 1222133100 is 13312221.

It is a super-2 number, since 2×12221331002 = 2987218628231220000, which contains 22 as substring.

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 1222133100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2721676 + ... + 2722124.

It is an arithmetic number, because the mean of its divisors is an integer number (25302200).

Almost surely, 21222133100 is an apocalyptic number.

1222133100 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 1222133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821758400).

1222133100 is an abundant number, since it is smaller than the sum of its proper divisors (2421383700).

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

1222133100 is a wasteful number, since it uses less digits than its factorization.

1222133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1222133100 is about 34959.0202951971. The cubic root of 1222133100 is about 1069.1521218590.

Adding to 1222133100 its reverse (13312221), we get a palindrome (1235445321).

The spelling of 1222133100 in words is "one billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 211 215 258 300 422 430 449 516 633 645 844 860 898 1055 1075 1266 1290 1347 1796 2110 2150 2245 2532 2580 2694 3165 3225 4220 4300 4490 5275 5388 6330 6450 6735 8980 9073 10550 11225 12660 12900 13470 15825 18146 19307 21100 22450 26940 27219 31650 33675 36292 38614 44900 45365 54438 57921 63300 67350 77228 90730 94739 96535 108876 115842 134700 136095 181460 189478 193070 226825 231684 272190 284217 289605 378956 386140 453650 473695 482675 544380 568434 579210 680475 907300 947390 965350 1136868 1158420 1360950 1421085 1448025 1894780 1930700 2368475 2721900 2842170 2896050 4073777 4736950 5684340 5792100 7105425 8147554 9473900 12221331 14210850 16295108 20368885 24442662 28421700 40737770 48885324 61106655 81475540 101844425 122213310 203688850 244426620 305533275 407377700 611066550 1222133100