Search a number
-
+
2263000 = 23533173
BaseRepresentation
bin1000101000011111011000
311020222020211
420220133120
51034404000
6120300504
725143445
oct10503730
94228224
102263000
111306253
12911734
1361306c
1442c9cc
152ea7ba
hex2287d8

2263000 has 64 divisors (see below), whose sum is σ = 5541120. Its totient is φ = 864000.

The previous prime is 2262979. The next prime is 2263007. The reversal of 2263000 is 3622.

2263000 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263007) 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, 30964 + ... + 31036.

It is an arithmetic number, because the mean of its divisors is an integer number (86580).

22263000 is an apocalyptic number.

2263000 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 2263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770560).

2263000 is an abundant number, since it is smaller than the sum of its proper divisors (3278120).

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

2263000 is a wasteful number, since it uses less digits than its factorization.

2263000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2263000 is about 1504.3270920913. The cubic root of 2263000 is about 131.2889529129.

Adding to 2263000 its reverse (3622), we get a palindrome (2266622).

The spelling of 2263000 in words is "two million, two hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 73 100 124 125 146 155 200 248 250 292 310 365 500 584 620 730 775 1000 1240 1460 1550 1825 2263 2920 3100 3650 3875 4526 6200 7300 7750 9052 9125 11315 14600 15500 18104 18250 22630 31000 36500 45260 56575 73000 90520 113150 226300 282875 452600 565750 1131500 2263000