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2553201 = 3571979
BaseRepresentation
bin1001101111010101110001
311210201100000
421233111301
51123200301
6130420213
730462510
oct11572561
94721300
102553201
111494292
12a31669
136b5191
144a6677
15356786
hex26f571

2553201 has 48 divisors (see below), whose sum is σ = 4659200. Its totient is φ = 1364688.

The previous prime is 2553157. The next prime is 2553203. The reversal of 2553201 is 1023552.

It is a happy number.

It is not a de Polignac number, because 2553201 - 215 = 2520433 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2553203) 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 47 ways as a sum of consecutive naturals, for example, 32280 + ... + 32358.

22553201 is an apocalyptic number.

2553201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2553201 is a deficient number, since it is larger than the sum of its proper divisors (2105999).

2553201 is an equidigital number, since it uses as much as digits as its factorization.

2553201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2553201 is about 1597.8738999057. The cubic root of 2553201 is about 136.6768628786.

Adding to 2553201 its reverse (1023552), we get a palindrome (3576753).

The spelling of 2553201 in words is "two million, five hundred fifty-three thousand, two hundred one".

Divisors: 1 3 7 9 19 21 27 57 63 79 81 133 171 189 237 243 399 513 553 567 711 1197 1501 1539 1659 1701 2133 3591 4503 4617 4977 6399 10507 10773 13509 14931 19197 31521 32319 40527 44793 94563 121581 134379 283689 364743 851067 2553201