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2256342 = 2311172011
BaseRepresentation
bin1000100110110111010110
311020122010020
420212313112
51034200332
6120210010
725115154
oct10466726
94218106
102256342
111301250
12909906
1361001a
1442a3d4
152e882c
hex226dd6

2256342 has 32 divisors (see below), whose sum is σ = 5215104. Its totient is φ = 643200.

The previous prime is 2256341. The next prime is 2256343. The reversal of 2256342 is 2436522.

2256342 = T298 + T299 + ... + T341.

It is an interprime number because it is at equal distance from previous prime (2256341) and next prime (2256343).

It is a d-powerful number, because it can be written as 23 + 29 + 59 + 65 + 32 + 49 + 215 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (162972).

22256342 is an apocalyptic number.

2256342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607552).

2256342 is an abundant number, since it is smaller than the sum of its proper divisors (2958762).

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

2256342 is a wasteful number, since it uses less digits than its factorization.

2256342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044.

The product of its digits is 2880, while the sum is 24.

The square root of 2256342 is about 1502.1125124304. The cubic root of 2256342 is about 131.1600708232.

The spelling of 2256342 in words is "two million, two hundred fifty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 2011 4022 6033 12066 22121 34187 44242 66363 68374 102561 132726 205122 376057 752114 1128171 2256342