Search a number
-
+
2264020 = 2251141251
BaseRepresentation
bin1000101000101111010100
311021000122121
420220233110
51034422040
6120305324
725146433
oct10505724
94230577
102264020
111306aa0
12912244
13613675
1442d11a
152eac4a
hex228bd4

2264020 has 48 divisors (see below), whose sum is σ = 5334336. Its totient is φ = 800000.

The previous prime is 2263969. The next prime is 2264027. The reversal of 2264020 is 204622.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2263985 and 2264003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264027) 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, 8895 + ... + 9145.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

22264020 is an apocalyptic number.

2264020 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 2264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667168).

2264020 is an abundant number, since it is smaller than the sum of its proper divisors (3070316).

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

2264020 is a wasteful number, since it uses less digits than its factorization.

2264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2264020 is about 1504.6660759119. Note that the first 3 decimals coincide. The cubic root of 2264020 is about 131.3086752015.

Adding to 2264020 its reverse (204622), we get a palindrome (2468642).

The spelling of 2264020 in words is "two million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 251 410 451 502 820 902 1004 1255 1804 2255 2510 2761 4510 5020 5522 9020 10291 11044 13805 20582 27610 41164 51455 55220 102910 113201 205820 226402 452804 566005 1132010 2264020