Search a number
-
+
2211201300 = 2235271195723
BaseRepresentation
bin1000001111001100…
…0100000100010100
312201002202122221110
42003303010010110
514012031420200
61003225415020
7105536621010
oct20363040424
95632678843
102211201300
11a351902a0
1251863a470
13293153c49
1416d955540
15ce1d0b50
hex83cc4114

2211201300 has 144 divisors (see below), whose sum is σ = 7976489472. Its totient is φ = 459465600.

The previous prime is 2211201283. The next prime is 2211201313. The reversal of 2211201300 is 31021122.

It is a super-2 number, since 2×22112013002 = 9778822378243380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24762 + ... + 70961.

It is an arithmetic number, because the mean of its divisors is an integer number (55392288).

Almost surely, 22211201300 is an apocalyptic number.

2211201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211201300 is an abundant number, since it is smaller than the sum of its proper divisors (5765288172).

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

2211201300 is a wasteful number, since it uses less digits than its factorization.

2211201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95758 (or 95751 counting only the distinct ones).

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

The square root of 2211201300 is about 47023.4122538975. The cubic root of 2211201300 is about 1302.7950316719.

Adding to 2211201300 its reverse (31021122), we get a palindrome (2242222422).

The spelling of 2211201300 in words is "two billion, two hundred eleven million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 95723 191446 287169 382892 478615 574338 670061 957230 1052953 1148676 1340122 1435845 1914460 2010183 2105906 2393075 2680244 2871690 3158859 3350305 4020366 4211812 4786150 5264765 5743380 6317718 6700610 7179225 7370671 8040732 9572300 10050915 10529530 12635436 13401220 14358450 14741342 15794295 16751525 20101830 21059060 22112013 26323825 28716900 29482684 31588590 33503050 36853355 40203660 44224026 50254575 52647650 63177180 67006100 73706710 78971475 88448052 100509150 105295300 110560065 147413420 157942950 184266775 201018300 221120130 315885900 368533550 442240260 552800325 737067100 1105600650 2211201300