Search a number
-
+
2256750125 = 53726072
BaseRepresentation
bin1000011010000011…
…0100011000101101
312211021110210011222
42012200310120231
514110212001000
61011533553125
7106632026300
oct20640643055
95737423158
102256750125
11a58970853
1252b9457a5
1329c711306
14175a10b37
15d31cba85
hex8683462d

2256750125 has 36 divisors (see below), whose sum is σ = 3281654844. Its totient is φ = 1544936400.

The previous prime is 2256750109. The next prime is 2256750131. The reversal of 2256750125 is 5210576522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 72216004 + 2184534121 = 8498^2 + 46739^2 .

It is not a de Polignac number, because 2256750125 - 24 = 2256750109 is a prime.

It is a super-2 number, since 2×22567501252 = 10185842253375031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3717572 + ... + 3718178.

It is an arithmetic number, because the mean of its divisors is an integer number (91157079).

Almost surely, 22256750125 is an apocalyptic number.

2256750125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256750125 is a deficient number, since it is larger than the sum of its proper divisors (1024904719).

2256750125 is an frugal number, since it uses more digits than its factorization.

2256750125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 2256750125 is about 47505.2641819830. The cubic root of 2256750125 is about 1311.6797838282.

The spelling of 2256750125 in words is "two billion, two hundred fifty-six million, seven hundred fifty thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 607 875 1225 3035 4249 6125 15175 21245 29743 75875 106225 148715 368449 531125 743575 1842245 2579143 3717875 9211225 12895715 18054001 46056125 64478575 90270005 322392875 451350025 2256750125