Search a number
-
+
2263380 = 2235717317
BaseRepresentation
bin1000101000100101010100
311020222202220
420220211110
51034412010
6120302340
725144530
oct10504524
94228686
102263380
111306569
129119b0
136132a2
1442cbc0
152ea970
hex228954

2263380 has 96 divisors (see below), whose sum is σ = 7693056. Its totient is φ = 485376.

The previous prime is 2263369. The next prime is 2263381. The reversal of 2263380 is 833622.

It is a self number, because there is not a number n which added to its sum of digits gives 2263380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6982 + ... + 7298.

It is an arithmetic number, because the mean of its divisors is an integer number (80136).

22263380 is an apocalyptic number.

2263380 is a gapful number since it is divisible by the number (20) 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 2263380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846528).

2263380 is an abundant number, since it is smaller than the sum of its proper divisors (5429676).

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

2263380 is a wasteful number, since it uses less digits than its factorization.

2263380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

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

The square root of 2263380 is about 1504.4533891085. The cubic root of 2263380 is about 131.2963011247.

The spelling of 2263380 in words is "two million, two hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 317 340 357 420 476 510 595 634 714 951 1020 1190 1268 1428 1585 1785 1902 2219 2380 3170 3570 3804 4438 4755 5389 6340 6657 7140 8876 9510 10778 11095 13314 16167 19020 21556 22190 26628 26945 32334 33285 37723 44380 53890 64668 66570 75446 80835 107780 113169 133140 150892 161670 188615 226338 323340 377230 452676 565845 754460 1131690 2263380