Search a number
-
+
2256315 = 35359419
BaseRepresentation
bin1000100110110110111011
311020122002020
420212312323
51034200230
6120205523
725115115
oct10466673
94218066
102256315
111301226
129098a3
1360ccc9
1442a3b5
152e8810
hex226dbb

2256315 has 16 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 1197152.

The previous prime is 2256313. The next prime is 2256341. The reversal of 2256315 is 5136522.

It is a cyclic number.

It is not a de Polignac number, because 2256315 - 21 = 2256313 is a prime.

2256315 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5176 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

22256315 is an apocalyptic number.

2256315 is a deficient number, since it is larger than the sum of its proper divisors (1372485).

2256315 is a wasteful number, since it uses less digits than its factorization.

2256315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786.

The product of its digits is 1800, while the sum is 24.

The square root of 2256315 is about 1502.1035250608. The cubic root of 2256315 is about 131.1595476554.

It can be divided in two parts, 22563 and 15, that added together give a triangular number (22578 = T212).

The spelling of 2256315 in words is "two million, two hundred fifty-six thousand, three hundred fifteen".

Divisors: 1 3 5 15 359 419 1077 1257 1795 2095 5385 6285 150421 451263 752105 2256315