Search a number
-
+
1225462645221 = 319376156916741
BaseRepresentation
bin10001110101010011010…
…001000000000111100101
311100011010121011111201120
4101311103101000013211
5130034221414121341
62334545245244153
7154352051421213
oct21652321000745
94304117144646
101225462645221
11432796796341
12179604b63659
138b739927799
1443454101cb3
1521d252e8066
hex11d534401e5

1225462645221 has 64 divisors (see below), whose sum is σ = 1798653331200. Its totient is φ = 739366963200.

The previous prime is 1225462645213. The next prime is 1225462645283.

It is a happy number.

1225462645221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1225462645221 - 23 = 1225462645213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225462645291) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 73192911 + ... + 73209651.

It is an arithmetic number, because the mean of its divisors is an integer number (28103958300).

Almost surely, 21225462645221 is an apocalyptic number.

It is an amenable number.

1225462645221 is a deficient number, since it is larger than the sum of its proper divisors (573190685979).

1225462645221 is a wasteful number, since it uses less digits than its factorization.

1225462645221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17430.

The product of its digits is 460800, while the sum is 42.

The spelling of 1225462645221 in words is "one trillion, two hundred twenty-five billion, four hundred sixty-two million, six hundred forty-five thousand, two hundred twenty-one".

Divisors: 1 3 19 37 57 61 111 183 569 703 1159 1707 2109 2257 3477 6771 10811 16741 21053 32433 34709 42883 50223 63159 104127 128649 318079 400007 619417 659471 954237 1021201 1200021 1284233 1858251 1978413 3063603 3852699 9525629 11768923 19402819 24400427 28576887 35306769 37784437 58208457 73201281 113353311 180986951 352448273 542960853 581063369 717904303 1057344819 1743190107 2153712909 6696517187 11040204011 20089551561 21499344653 33120612033 64498033959 408487548407 1225462645221