Search a number
-
+
2245407 = 37310253
BaseRepresentation
bin1000100100001100011111
311020002010020
420210030133
51033323112
6120043223
725041243
oct10441437
94202106
102245407
1112a400a
12903513
13608058
14426423
152e548c
hex22431f

2245407 has 8 divisors (see below), whose sum is σ = 3035184. Its totient is φ = 1476288.

The previous prime is 2245391. The next prime is 2245427. The reversal of 2245407 is 7045422.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2245407 - 24 = 2245391 is a prime.

It is a super-3 number, since 3×22454073 = 33963033333715302429, which contains 333 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

2245407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4908 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (379398).

22245407 is an apocalyptic number.

2245407 is a deficient number, since it is larger than the sum of its proper divisors (789777).

2245407 is a wasteful number, since it uses less digits than its factorization.

2245407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329.

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 2245407 is about 1498.4682178812. The cubic root of 2245407 is about 130.9478455247.

The spelling of 2245407 in words is "two million, two hundred forty-five thousand, four hundred seven".

Divisors: 1 3 73 219 10253 30759 748469 2245407