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2259036 = 2233131609
BaseRepresentation
bin1000100111100001011100
311020202211000
420213201130
51034242121
6120230300
725126053
oct10474134
94222730
102259036
11130327a
1290b390
13611310
1442b39a
152e9526
hex22785c

2259036 has 48 divisors (see below), whose sum is σ = 6311200. Its totient is φ = 694656.

The previous prime is 2259031. The next prime is 2259041. The reversal of 2259036 is 6309522.

It is an interprime number because it is at equal distance from previous prime (2259031) and next prime (2259041).

It is a super-3 number, since 3×22590363 = 34585233361593115968, which contains 333 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 (2259031) 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, 600 + ... + 2208.

22259036 is an apocalyptic number.

2259036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155600).

2259036 is an abundant number, since it is smaller than the sum of its proper divisors (4052164).

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

2259036 is a wasteful number, since it uses less digits than its factorization.

2259036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2259036 is about 1503.0089820091. The cubic root of 2259036 is about 131.2122503681.

Subtracting from 2259036 its sum of digits (27), we obtain a square (2259009 = 15032).

It can be divided in two parts, 225 and 9036, that added together give a cube (9261 = 213).

The spelling of 2259036 in words is "two million, two hundred fifty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1609 3218 4827 6436 9654 14481 19308 20917 28962 41834 43443 57924 62751 83668 86886 125502 173772 188253 251004 376506 564759 753012 1129518 2259036