221622506001 has 80 divisors (see below), whose sum is σ = 364866662160. Its totient is φ = 133217809920.

The previous prime is 221622505987. The next prime is 221622506009. The reversal of 221622506001 is 100605226122.

221622506001 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 2 + 2 + 50 + 600 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35503603776 + 186118902225 = 188424^2 + 431415^2 .

It is not a de Polignac number, because 221622506001 - 2⁵ = 221622505969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221622506009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12771591 + ... + 12788931.

It is an arithmetic number, because the mean of its divisors is an integer number (4560833277).

Almost surely, 2^221622506001 is an apocalyptic number.

It is an amenable number.

221622506001 is a deficient number, since it is larger than the sum of its proper divisors (143244156159).

221622506001 is a wasteful number, since it uses less digits than its factorization.

221622506001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17648 (or 17639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 221622506001 in words is "two hundred twenty-one billion, six hundred twenty-two million, five hundred six thousand, one".