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2572011225 = 345274232
BaseRepresentation
bin1001100101001101…
…1100011011011001
320122020200201010000
42121103130123121
520231413324400
61103115043213
7120510510000
oct23123343331
96566621100
102572011225
1110aa919113
125b9440509
1331cb23544
141a5837c37
15100c02600
hex994dc6d9

2572011225 has 225 divisors, whose sum is σ = 5810122703. Its totient is φ = 1124655840.

The previous prime is 2572011223. The next prime is 2572011251. The reversal of 2572011225 is 5221102752.

The square root of 2572011225 is 50715.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 925924041 + 1646087184 = 30429^2 + 40572^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2572011225 - 21 = 2572011223 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 (2572011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 111826564 + ... + 111826586.

Almost surely, 22572011225 is an apocalyptic number.

2572011225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2572011225 is the 50715-th square number.

2572011225 is the 25358-th centered octagonal number.

It is an amenable number.

2572011225 is an abundant number, since it is smaller than the sum of its proper divisors (3238111478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2572011225 is an frugal number, since it uses more digits than its factorization.

2572011225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The cubic root of 2572011225 is about 1370.1168893464.

Adding to 2572011225 its reverse (5221102752), we get a palindrome (7793113977).

The spelling of 2572011225 in words is "two billion, five hundred seventy-two million, eleven thousand, two hundred twenty-five".