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172522224001 = 735574242941
BaseRepresentation
bin1010000010101100100…
…0000011100110000001
3121111022101000001000001
42200223020003212001
510311311142132001
6211131114000001
715315155464621
oct2405310034601
9544271001001
10172522224001
1167191330416
1229529416001
131336566801a
1484c8a30881
15474aeb6001
hex282b203981

172522224001 has 8 divisors (see below), whose sum is σ = 175199561064. Its totient is φ = 169853374080.

The previous prime is 172522223987. The next prime is 172522224011. The reversal of 172522224001 is 100422225271.

It can be written as a sum of positive squares in 4 ways, for example, as 39898065025 + 132624158976 = 199745^2 + 364176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 172522224001 - 27 = 172522223873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172522224011) 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 7 ways as a sum of consecutive naturals, for example, 2080810 + ... + 2162131.

It is an arithmetic number, because the mean of its divisors is an integer number (21899945133).

Almost surely, 2172522224001 is an apocalyptic number.

It is an amenable number.

172522224001 is a deficient number, since it is larger than the sum of its proper divisors (2677337063).

172522224001 is an equidigital number, since it uses as much as digits as its factorization.

172522224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243571.

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 172522224001 its reverse (100422225271), we get a palindrome (272944449272).

The spelling of 172522224001 in words is "one hundred seventy-two billion, five hundred twenty-two million, two hundred twenty-four thousand, one".

Divisors: 1 73 557 40661 4242941 309734693 2363318137 172522224001