Search a number
-
+
23221114002 = 2321290061889
BaseRepresentation
bin10101101000000101…
…100001010010010010
32012221022121210222100
4111220011201102102
5340024101122002
614400113021230
71451304132552
oct255005412222
965838553870
1023221114002
119936793709
124600854816
132260b29958
1411a4009162
1590d93a11c
hex568161492

23221114002 has 12 divisors (see below), whose sum is σ = 50312413710. Its totient is φ = 7740371328.

The previous prime is 23221113961. The next prime is 23221114009. The reversal of 23221114002 is 20041112232.

It is a happy number.

23221114002 is a `hidden beast` number, since 232 + 21 + 11 + 400 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20014043841 + 3207070161 = 141471^2 + 56631^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1290061889 = 23221114002 / (2 + 3 + 2 + 2 + 1 + 1 + 1 + 4 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (23221114009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 645030927 + ... + 645030962.

Almost surely, 223221114002 is an apocalyptic number.

23221114002 is an abundant number, since it is smaller than the sum of its proper divisors (27091299708).

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

23221114002 is a wasteful number, since it uses less digits than its factorization.

23221114002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290061897 (or 1290061894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23221114002 its reverse (20041112232), we get a palindrome (43262226234).

The spelling of 23221114002 in words is "twenty-three billion, two hundred twenty-one million, one hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 1290061889 2580123778 3870185667 7740371334 11610557001 23221114002