Search a number
-
+
1222211324448 = 25324243789321
BaseRepresentation
bin10001110010010001011…
…110001100101000100000
311022211202000020022002200
4101302101132030220200
5130011042044340243
62333250502213200
7154205351563002
oct21622136145040
94284660208080
101222211324448
1143137847a984
12178a58124200
138b33c15a63a
1443226398372
1521bd4b5dad3
hex11c9178ca20

1222211324448 has 36 divisors (see below), whose sum is σ = 3475663454718. Its totient is φ = 407403774720.

The previous prime is 1222211324401. The next prime is 1222211324449. The reversal of 1222211324448 is 8444231122221.

It can be written as a sum of positive squares in only one way, i.e., 671724489744 + 550486834704 = 819588^2 + 741948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1222211324449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2121894373 + ... + 2121894948.

Almost surely, 21222211324448 is an apocalyptic number.

1222211324448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1222211324448 is an abundant number, since it is smaller than the sum of its proper divisors (2253452130270).

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

1222211324448 is a wasteful number, since it uses less digits than its factorization.

1222211324448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243789337 (or 4243789326 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 1222211324448 its reverse (8444231122221), we get a palindrome (9666442446669).

The spelling of 1222211324448 in words is "one trillion, two hundred twenty-two billion, two hundred eleven million, three hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4243789321 8487578642 12731367963 16975157284 25462735926 33950314568 38194103889 50925471852 67900629136 76388207778 101850943704 135801258272 152776415556 203701887408 305552831112 407403774816 611105662224 1222211324448