Search a number
-
+
2256174 = 23419733
BaseRepresentation
bin1000100110110100101110
311020121220000
420212310232
51034144144
6120205130
725114524
oct10466456
94217800
102256174
111301108
129097a6
1360cc1b
1442a314
152e8769
hex226d2e

2256174 has 40 divisors (see below), whose sum is σ = 5328840. Its totient is φ = 711504.

The previous prime is 2256173. The next prime is 2256179. The reversal of 2256174 is 4716522.

2256174 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22561742 = 10180642236552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2712 + ... + 3444.

It is an arithmetic number, because the mean of its divisors is an integer number (133221).

22256174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664420).

2256174 is an abundant number, since it is smaller than the sum of its proper divisors (3072666).

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

2256174 is a wasteful number, since it uses less digits than its factorization.

2256174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2256174 is about 1502.0565901457. The cubic root of 2256174 is about 131.1568154894.

The spelling of 2256174 in words is "two million, two hundred fifty-six thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 733 1026 1466 1539 2199 3078 4398 6597 13194 13927 19791 27854 39582 41781 59373 83562 118746 125343 250686 376029 752058 1128087 2256174