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225413040424 = 2311131061185711
BaseRepresentation
bin1101000111101110101…
…0100000100100101000
3210112211102101220020211
43101323222200210220
512143121214243144
6251315303430504
722166642141605
oct3217352404450
9715742356224
10225413040424
118766286a650
123782a455434
13183442b16c0
14aca52656ac
155ce4534034
hex347baa0928

225413040424 has 64 divisors (see below), whose sum is σ = 497009882880. Its totient is φ = 94489248000.

The previous prime is 225413040401. The next prime is 225413040473. The reversal of 225413040424 is 424040314522.

It is a super-2 number, since 2×2254130404242 (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 1120929 + ... + 1306639.

It is an arithmetic number, because the mean of its divisors is an integer number (7765779420).

Almost surely, 2225413040424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225413040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248504941440).

225413040424 is an abundant number, since it is smaller than the sum of its proper divisors (271596842456).

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

225413040424 is a wasteful number, since it uses less digits than its factorization.

225413040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186802 (or 186798 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 225413040424 its reverse (424040314522), we get a palindrome (649453354946).

The spelling of 225413040424 in words is "two hundred twenty-five billion, four hundred thirteen million, forty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1061 1144 2122 4244 8488 11671 13793 23342 27586 46684 55172 93368 110344 151723 185711 303446 371422 606892 742844 1213784 1485688 2042821 2414243 4085642 4828486 8171284 9656972 16342568 19313944 26556673 53113346 106226692 197039371 212453384 394078742 788157484 1576314968 2167433081 2561511823 4334866162 5123023646 8669732324 10246047292 17339464648 20492094584 28176630053 56353260106 112706520212 225413040424