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1224211040 = 255131930977
BaseRepresentation
bin100100011110111…
…1111101001100000
310011022120100211122
41020331333221200
510001344223130
6321251031412
742223423253
oct11075775140
93138510748
101224211040
11579042968
122a1b9b568
13166820540
14b883309a
157271e2e5
hex48f7fa60

1224211040 has 96 divisors (see below), whose sum is σ = 3278711520. Its totient is φ = 428212224.

The previous prime is 1224211033. The next prime is 1224211061. The reversal of 1224211040 is 401124221.

It is a congruent number.

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, 24032 + ... + 55008.

It is an arithmetic number, because the mean of its divisors is an integer number (34153245).

Almost surely, 21224211040 is an apocalyptic number.

1224211040 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 1224211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639355760).

1224211040 is an abundant number, since it is smaller than the sum of its proper divisors (2054500480).

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

1224211040 is a wasteful number, since it uses less digits than its factorization.

1224211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31024 (or 31016 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1224211040 is about 34988.7273275265. The cubic root of 1224211040 is about 1069.7577231180.

Adding to 1224211040 its reverse (401124221), we get a palindrome (1625335261).

The spelling of 1224211040 in words is "one billion, two hundred twenty-four million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2080 2470 3040 3952 4940 7904 9880 19760 30977 39520 61954 123908 154885 247816 309770 402701 495632 588563 619540 805402 991264 1177126 1239080 1610804 2013505 2354252 2478160 2942815 3221608 4027010 4708504 4956320 5885630 6443216 7651319 8054020 9417008 11771260 12886432 15302638 16108040 18834016 23542520 30605276 32216080 38256595 47085040 61210552 64432160 76513190 94170080 122421104 153026380 244842208 306052760 612105520 1224211040