Search a number
2356225 = 523072
BaseRepresentation
bin1000111111010000000001
311102201010121
420333100001
51100344400
6122300241
726012314
oct10772001
94381117
102356225
11136a2a3
12957681
13646621
1445497b
1531821a
hex23f401

2356225 has 9 divisors (see below), whose sum is σ = 2931267. Its totient is φ = 1878840.

The previous prime is 2356219. The next prime is 2356259. The reversal of 2356225 is 5226532.

The square root of 2356225 is 1535.

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., 848241 + 1507984 = 921^2 + 1228^2 .

It is not a de Polignac number, because 2356225 - 215 = 2323457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 27 + 311 + 55 + 62 + 29 + 221 + 57 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2356225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7522 + ... + 7828.

22356225 is an apocalyptic number.

2356225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2356225 is the 1535-th square number.

2356225 is the 768-th centered octagonal number.

It is an amenable number.

2356225 is a deficient number, since it is larger than the sum of its proper divisors (575042).

2356225 is an frugal number, since it uses more digits than its factorization.

2356225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The cubic root of 2356225 is about 133.0675782978.

Multiplying 2356225 by its sum of digits (25), we get a square (58905625 = 76752).

2356225 divided by its sum of digits (25) gives a palindrome (94249).

Multiplying 2356225 by its product of digits (3600), we get a square (8482410000 = 921002).

The spelling of 2356225 in words is "two million, three hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 307 1535 7675 94249 471245 2356225