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2213200110 = 235113431289
BaseRepresentation
bin1000001111101010…
…1100000011101110
312201020112012210110
42003322230003232
514013034400420
61003340320450
7105562614312
oct20372540356
95636465713
102213200110
11a36326000
12519243126
132936a3984
1416dd15b42
15ce477ee0
hex83eac0ee

2213200110 has 128 divisors (see below), whose sum is σ = 5982958080. Its totient is φ = 523649280.

The previous prime is 2213200069. The next prime is 2213200111. The reversal of 2213200110 is 110023122.

2213200110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213200111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1716346 + ... + 1717634.

It is an arithmetic number, because the mean of its divisors is an integer number (46741860).

Almost surely, 22213200110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991479040).

2213200110 is an abundant number, since it is smaller than the sum of its proper divisors (3769757970).

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

2213200110 is a wasteful number, since it uses less digits than its factorization.

2213200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2213200110 is about 47044.6608022632. The cubic root of 2213200110 is about 1303.1874662417.

Adding to 2213200110 its reverse (110023122), we get a palindrome (2323223232).

The spelling of 2213200110 in words is "two billion, two hundred thirteen million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 121 129 165 215 242 258 330 363 430 473 605 645 726 946 1210 1289 1290 1331 1419 1815 2365 2578 2662 2838 3630 3867 3993 4730 5203 6445 6655 7095 7734 7986 10406 12890 13310 14179 14190 15609 19335 19965 26015 28358 31218 38670 39930 42537 52030 55427 57233 70895 78045 85074 110854 114466 141790 155969 156090 166281 171699 212685 277135 286165 311938 332562 343398 425370 467907 554270 572330 609697 779845 831405 858495 935814 1219394 1559690 1662810 1715659 1716990 1829091 2339535 3048485 3431318 3658182 4679070 5146977 6096970 6706667 8578295 9145455 10293954 13413334 17156590 18290910 20120001 25734885 33533335 40240002 51469770 67066670 73773337 100600005 147546674 201200010 221320011 368866685 442640022 737733370 1106600055 2213200110