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11221204240 = 245796532719
BaseRepresentation
bin10100111001101010…
…11111110100010000
31001222000200020102001
422130311133310100
5140440112013430
65053245203344
7545033443111
oct123465376420
931860606361
1011221204240
114839093914
122211b60554
13109a9c722c
14786412208
1545a1d63ca
hex29cd5fd10

11221204240 has 80 divisors (see below), whose sum is σ = 26469734400. Its totient is φ = 4423251456.

The previous prime is 11221204237. The next prime is 11221204249. The reversal of 11221204240 is 4240212211.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11221204249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125601 + ... + 4128319.

It is an arithmetic number, because the mean of its divisors is an integer number (330871680).

Almost surely, 211221204240 is an apocalyptic number.

11221204240 is a gapful number since it is divisible by the number (10) 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 11221204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234867200).

11221204240 is an abundant number, since it is smaller than the sum of its proper divisors (15248530160).

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

11221204240 is a wasteful number, since it uses less digits than its factorization.

11221204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11221204240 its reverse (4240212211), we get a palindrome (15461416451).

The spelling of 11221204240 in words is "eleven billion, two hundred twenty-one million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 653 790 1264 1306 1580 2612 2719 3160 3265 5224 5438 6320 6530 10448 10876 13060 13595 21752 26120 27190 43504 51587 52240 54380 103174 108760 206348 214801 217520 257935 412696 429602 515870 825392 859204 1031740 1074005 1718408 1775507 2063480 2148010 3436816 3551014 4126960 4296020 7102028 8592040 8877535 14204056 17184080 17755070 28408112 35510140 71020280 140265053 142040560 280530106 561060212 701325265 1122120424 1402650530 2244240848 2805301060 5610602120 11221204240