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2312500 = 225637
BaseRepresentation
bin1000110100100100110100
311100111011011
420310210310
51043000000
6121322004
725440661
oct10644464
94314134
102312500
11133a463
12936304
1362c758
14442a68
1530a2ba
hex234934

2312500 has 42 divisors (see below), whose sum is σ = 5195246. Its totient is φ = 900000.

The previous prime is 2312477. The next prime is 2312521. The reversal of 2312500 is 52132.

Adding to 2312500 its reverse (52132), we get a palindrome (2364632).

2312500 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 7 ways, for example, as 2226064 + 86436 = 1492^2 + 294^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 62482 + ... + 62518.

22312500 is an apocalyptic number.

2312500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597623).

2312500 is an abundant number, since it is smaller than the sum of its proper divisors (2882746).

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

2312500 is an frugal number, since it uses more digits than its factorization.

2312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2312500 is about 1520.6906325746. The cubic root of 2312500 is about 132.2393118174.

The spelling of 2312500 in words is "two million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 625 740 925 1250 1850 2500 3125 3700 4625 6250 9250 12500 15625 18500 23125 31250 46250 62500 92500 115625 231250 462500 578125 1156250 2312500