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2212340100 = 2235223833863
BaseRepresentation
bin1000001111011101…
…1010000110000100
312201011220112002020
42003313122012010
514012324340400
61003310043140
7105552403065
oct20367320604
95634815066
102212340100
11a35898953
12518aa94b0
132934623a9
1416db7056c
15ce3582a0
hex83dda184

2212340100 has 144 divisors (see below), whose sum is σ = 6761567232. Its totient is φ = 557363840.

The previous prime is 2212340093. The next prime is 2212340159. The reversal of 2212340100 is 10432122.

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 2212340100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570769 + ... + 574631.

It is an arithmetic number, because the mean of its divisors is an integer number (46955328).

Almost surely, 22212340100 is an apocalyptic number.

2212340100 is a gapful number since it is divisible by the number (20) 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 2212340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380783616).

2212340100 is an abundant number, since it is smaller than the sum of its proper divisors (4549227132).

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

2212340100 is a wasteful number, since it uses less digits than its factorization.

2212340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3979 counting only the distinct ones).

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

The square root of 2212340100 is about 47035.5195570326. The cubic root of 2212340100 is about 1303.0186459217.

Adding to 2212340100 its reverse (10432122), we get a palindrome (2222772222).

The spelling of 2212340100 in words is "two billion, two hundred twelve million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 83 92 100 115 138 150 166 230 249 276 300 332 345 415 460 498 575 690 830 996 1150 1245 1380 1660 1725 1909 2075 2300 2490 3450 3818 3863 4150 4980 5727 6225 6900 7636 7726 8300 9545 11454 11589 12450 15452 19090 19315 22908 23178 24900 28635 38180 38630 46356 47725 57270 57945 77260 88849 95450 96575 114540 115890 143175 177698 190900 193150 231780 266547 286350 289725 320629 355396 386300 444245 533094 572700 579450 641258 888490 961887 1066188 1158900 1282516 1332735 1603145 1776980 1923774 2221225 2665470 3206290 3847548 4442450 4809435 5330940 6412580 6663675 7374467 8015725 8884900 9618870 13327350 14748934 16031450 19237740 22123401 24047175 26654700 29497868 32062900 36872335 44246802 48094350 73744670 88493604 96188700 110617005 147489340 184361675 221234010 368723350 442468020 553085025 737446700 1106170050 2212340100