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1225014440 = 235135344449
BaseRepresentation
bin100100100000100…
…0011110010101000
310011101002011220012
41021001003302220
510002100430230
6321320151052
742233310446
oct11101036250
93141064805
101225014440
11579541531
122a2308488
13166a42120
14b89a1b96
157282c395
hex49043ca8

1225014440 has 64 divisors (see below), whose sum is σ = 3024378000. Its totient is φ = 443768832.

The previous prime is 1225014421. The next prime is 1225014449. The reversal of 1225014440 is 444105221.

It can be written as a sum of positive squares in 8 ways, for example, as 673610116 + 551404324 = 25954^2 + 23482^2 .

It is not an unprimeable number, because it can be changed into a prime (1225014449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5336 + ... + 49784.

Almost surely, 21225014440 is an apocalyptic number.

1225014440 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 1225014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512189000).

1225014440 is an abundant number, since it is smaller than the sum of its proper divisors (1799363560).

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

1225014440 is a wasteful number, since it uses less digits than its factorization.

1225014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44526 (or 44522 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1225014440 is about 35000.2062851064. The cubic root of 1225014440 is about 1069.9916847987.

Adding to 1225014440 its reverse (444105221), we get a palindrome (1669119661).

It can be divided in two parts, 12250 and 14440, that multiplied together give a square (176890000 = 133002).

The spelling of 1225014440 in words is "one billion, two hundred twenty-five million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 13780 27560 44449 88898 177796 222245 355592 444490 577837 888980 1155674 1777960 2311348 2355797 2889185 4622696 4711594 5778370 9423188 11556740 11778985 18846376 23113480 23557970 30625361 47115940 61250722 94231880 122501444 153126805 245002888 306253610 612507220 1225014440