Search a number
-
+
220010301200 = 24522931877221
BaseRepresentation
bin1100110011100110100…
…0101100011100010000
3210000212220012022100002
43030321220230130100
512101040114114300
6245023224145132
721616026463364
oct3147150543420
9700786168302
10220010301200
1185340096708
12367810081a8
1317992b927a1
14a9118c92a4
155aca0775d5
hex3339a2c710

220010301200 has 60 divisors (see below), whose sum is σ = 530379040548. Its totient is φ = 87703718400.

The previous prime is 220010301193. The next prime is 220010301211. The reversal of 220010301200 is 2103010022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2395515136 + 217614786064 = 48944^2 + 466492^2 .

It is a super-2 number, since 2×2200103012002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821411 + ... + 1055810.

Almost surely, 2220010301200 is an apocalyptic number.

220010301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010301200 is an abundant number, since it is smaller than the sum of its proper divisors (310368739348).

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

220010301200 is a wasteful number, since it uses less digits than its factorization.

220010301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877532 (or 1877521 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 220010301200 its reverse (2103010022), we get a palindrome (222113311222).

The spelling of 220010301200 in words is "two hundred twenty billion, ten million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 293 400 586 1172 1465 2344 2930 4688 5860 7325 11720 14650 23440 29300 58600 117200 1877221 3754442 7508884 9386105 15017768 18772210 30035536 37544420 46930525 75088840 93861050 150177680 187722100 375444200 550025753 750888400 1100051506 2200103012 2750128765 4400206024 5500257530 8800412048 11000515060 13750643825 22001030120 27501287650 44002060240 55002575300 110005150600 220010301200