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2100233220 = 2235373972383
BaseRepresentation
bin111110100101111…
…0000010000000100
312102100221220100120
41331023300100010
513300124430340
6544223141540
7103021454631
oct17513602004
95370856316
102100233220
11988588338
124a74448b0
13276170067
1415cd0b188
15c45b14d0
hex7d2f0404

2100233220 has 96 divisors (see below), whose sum is σ = 6057343488. Its totient is φ = 543324672.

The previous prime is 2100233203. The next prime is 2100233297. The reversal of 2100233220 is 223320012.

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 2100233220.

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 31 ways as a sum of consecutive naturals, for example, 880149 + ... + 882531.

It is an arithmetic number, because the mean of its divisors is an integer number (63097328).

Almost surely, 22100233220 is an apocalyptic number.

2100233220 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 2100233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028671744).

2100233220 is an abundant number, since it is smaller than the sum of its proper divisors (3957110268).

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

2100233220 is a wasteful number, since it uses less digits than its factorization.

2100233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2100233220 is about 45828.3015177303. The cubic root of 2100233220 is about 1280.6265690538.

Adding to 2100233220 its reverse (223320012), we get a palindrome (2323553232).

The spelling of 2100233220 in words is "two billion, one hundred million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 397 444 555 740 794 1110 1191 1588 1985 2220 2382 2383 3970 4764 4766 5955 7149 7940 9532 11910 11915 14298 14689 23820 23830 28596 29378 35745 44067 47660 58756 71490 73445 88134 88171 142980 146890 176268 176342 220335 264513 293780 352684 440670 440855 529026 881340 881710 946051 1058052 1322565 1763420 1892102 2645130 2838153 3784204 4730255 5290260 5676306 9460510 11352612 14190765 18921020 28381530 35003887 56763060 70007774 105011661 140015548 175019435 210023322 350038870 420046644 525058305 700077740 1050116610 2100233220