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2263890 = 2351723193
BaseRepresentation
bin1000101000101101010010
311021000110210
420220231102
51034421030
6120304550
725146156
oct10505522
94230423
102263890
111306992
12912156
136135a5
1442d066
152eabb0
hex228b52

2263890 has 64 divisors (see below), whose sum is σ = 6034176. Its totient is φ = 540672.

The previous prime is 2263879. The next prime is 2263901. The reversal of 2263890 is 983622.

It is an interprime number because it is at equal distance from previous prime (2263879) and next prime (2263901).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11634 + ... + 11826.

It is an arithmetic number, because the mean of its divisors is an integer number (94284).

22263890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017088).

2263890 is an abundant number, since it is smaller than the sum of its proper divisors (3770286).

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

2263890 is a wasteful number, since it uses less digits than its factorization.

2263890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2263890 is about 1504.6228763381. The cubic root of 2263890 is about 131.3061619059.

The spelling of 2263890 in words is "two million, two hundred sixty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 193 230 255 345 386 391 510 579 690 782 965 1158 1173 1930 1955 2346 2895 3281 3910 4439 5790 5865 6562 8878 9843 11730 13317 16405 19686 22195 26634 32810 44390 49215 66585 75463 98430 133170 150926 226389 377315 452778 754630 1131945 2263890