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22275264001 = 1492492
BaseRepresentation
bin10100101111101101…
…011000111000000001
32010111101211122200211
4110233231120320001
5331104431422001
614122204114121
71416000422434
oct245755307001
963441748624
1022275264001
1194a08955a1
124397b35941
13213cb9bab3
14111455581b
158a58a3351
hex52fb58e01

22275264001 has 3 divisors (see below), whose sum is σ = 22275413251. Its totient is φ = 22275114752.

The previous prime is 22275263987. The next prime is 22275264007. The reversal of 22275264001 is 10046257222.

The square root of 22275264001 is 149249.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10046257222 = 25023128611.

It can be written as a sum of positive squares in only one way, i.e., 21668134401 + 607129600 = 147201^2 + 24640^2 .

It is not a de Polignac number, because 22275264001 - 231 = 20127780353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22275264007) 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 2 ways as a sum of consecutive naturals, for example, 74625 + ... + 223873.

Almost surely, 222275264001 is an apocalyptic number.

22275264001 is the 149249-th square number.

22275264001 is the 74625-th centered octagonal number.

It is an amenable number.

22275264001 is a deficient number, since it is larger than the sum of its proper divisors (149250).

22275264001 is an frugal number, since it uses more digits than its factorization.

22275264001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298498 (or 149249 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 22275264001 in words is "twenty-two billion, two hundred seventy-five million, two hundred sixty-four thousand, one".

Divisors: 1 149249 22275264001