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221148001 = 378967157
BaseRepresentation
bin11010010111001…
…11001101100001
3120102010111000201
431023213031201
5423103214001
633535545201
75323504234
oct1513471541
9512114021
10221148001
11103917848
126208b201
1336a80109
142152941b
1514635501
hexd2e7361

221148001 has 8 divisors (see below), whose sum is σ = 229680360. Its totient is φ = 212750208.

The previous prime is 221147999. The next prime is 221148007. The reversal of 221148001 is 100841122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5058001 + 216090000 = 2249^2 + 14700^2 .

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 221148001 - 21 = 221147999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221148001.

It is not an unprimeable number, because it can be changed into a prime (221148007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30286 + ... + 36871.

It is an arithmetic number, because the mean of its divisors is an integer number (28710045).

Almost surely, 2221148001 is an apocalyptic number.

It is an amenable number.

221148001 is a deficient number, since it is larger than the sum of its proper divisors (8532359).

221148001 is an equidigital number, since it uses as much as digits as its factorization.

221148001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67283.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 221148001 is about 14871.0457265116. The cubic root of 221148001 is about 604.7292926368.

Adding to 221148001 its reverse (100841122), we get a palindrome (321989123).

The spelling of 221148001 in words is "two hundred twenty-one million, one hundred forty-eight thousand, one".

Divisors: 1 37 89 3293 67157 2484809 5976973 221148001