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221144401 = 19292711481
BaseRepresentation
bin11010010111001…
…10010101010001
3120102010022002101
431023212111101
5423103110101
633535520401
75323460602
oct1513462521
9512108071
10221144401
11103915075
1262089101
1336a7b59a
1421527da9
1514634401
hexd2e6551

221144401 has 16 divisors (see below), whose sum is σ = 241862400. Its totient is φ = 201398400.

The previous prime is 221144393. The next prime is 221144411. The reversal of 221144401 is 104441122.

221144401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221144401 - 23 = 221144393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (221144411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148581 + ... + 150061.

It is an arithmetic number, because the mean of its divisors is an integer number (15116400).

Almost surely, 2221144401 is an apocalyptic number.

It is an amenable number.

221144401 is a deficient number, since it is larger than the sum of its proper divisors (20717999).

221144401 is a wasteful number, since it uses less digits than its factorization.

221144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 221144401 is about 14870.9246854390. The cubic root of 221144401 is about 604.7260112185.

Adding to 221144401 its reverse (104441122), we get a palindrome (325585523).

The spelling of 221144401 in words is "two hundred twenty-one million, one hundred forty-four thousand, four hundred one".

Divisors: 1 19 29 271 551 1481 5149 7859 28139 42949 149321 401351 816031 7625669 11639179 221144401