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2268030 = 2351923173
BaseRepresentation
bin1000101001101101111110
311021020011010
420221231332
51040034110
6120340050
725164222
oct10515576
94236133
102268030
11130a006
12914626
1361543b
14430782
152ec020
hex229b7e

2268030 has 64 divisors (see below), whose sum is σ = 6013440. Its totient is φ = 544896.

The previous prime is 2268001. The next prime is 2268031. The reversal of 2268030 is 308622.

2268030 = 102 + 112 + ... + 1892.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2267988 and 2268006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268031) 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 31 ways as a sum of consecutive naturals, for example, 13024 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (93960).

22268030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006720).

2268030 is an abundant number, since it is smaller than the sum of its proper divisors (3745410).

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

2268030 is a wasteful number, since it uses less digits than its factorization.

2268030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2268030 is about 1505.9980079668. The cubic root of 2268030 is about 131.3861534956.

It can be divided in two parts, 226 and 8030, that added together give a triangular number (8256 = T128).

The spelling of 2268030 in words is "two million, two hundred sixty-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 173 190 230 285 345 346 437 519 570 690 865 874 1038 1311 1730 2185 2595 2622 3287 3979 4370 5190 6555 6574 7958 9861 11937 13110 16435 19722 19895 23874 32870 39790 49305 59685 75601 98610 119370 151202 226803 378005 453606 756010 1134015 2268030