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2263830 = 235591279
BaseRepresentation
bin1000101000101100010110
311021000101120
420220230112
51034420310
6120304410
725146042
oct10505426
94230346
102263830
111306938
12912106
1361355a
1442d022
152eab70
hex228b16

2263830 has 32 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 592992.

The previous prime is 2263829. The next prime is 2263841. The reversal of 2263830 is 383622.

It is a self number, because there is not a number n which added to its sum of digits gives 2263830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

22263830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764800).

2263830 is an abundant number, since it is smaller than the sum of its proper divisors (3265770).

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

2263830 is a wasteful number, since it uses less digits than its factorization.

2263830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2263830 is about 1504.6029376550. The cubic root of 2263830 is about 131.3050018909.

The spelling of 2263830 in words is "two million, two hundred sixty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1279 1770 2558 3837 6395 7674 12790 19185 38370 75461 150922 226383 377305 452766 754610 1131915 2263830