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2133625 = 53132101
BaseRepresentation
bin1000001000111001111001
311000101210011
420020321321
51021234000
6113421521
724064324
oct10107171
94011704
102133625
11122802a
1286a8a1
13599200
143d77bb
152c22ba
hex208e79

2133625 has 24 divisors (see below), whose sum is σ = 2911896. Its totient is φ = 1560000.

The previous prime is 2133613. The next prime is 2133631. The reversal of 2133625 is 5263312.

It can be written as a sum of positive squares in 12 ways, for example, as 1687401 + 446224 = 1299^2 + 668^2 .

It is not a de Polignac number, because 2133625 - 29 = 2133113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133596 and 2133605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21075 + ... + 21175.

It is an arithmetic number, because the mean of its divisors is an integer number (121329).

22133625 is an apocalyptic number.

2133625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2133625 is a deficient number, since it is larger than the sum of its proper divisors (778271).

2133625 is a wasteful number, since it uses less digits than its factorization.

2133625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 2133625 is about 1460.6933285259. The cubic root of 2133625 is about 128.7377843690.

Adding to 2133625 its reverse (5263312), we get a palindrome (7396937).

The spelling of 2133625 in words is "two million, one hundred thirty-three thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 101 125 169 325 505 845 1313 1625 2525 4225 6565 12625 17069 21125 32825 85345 164125 426725 2133625