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2241580 = 2251123443
BaseRepresentation
bin1000100011010000101100
311012212212111
420203100230
51033212310
6120013404
725024135
oct10432054
94185774
102241580
1112a1150
12901264
136063a3
14424c8c
152e428a
hex22342c

2241580 has 48 divisors (see below), whose sum is σ = 5370624. Its totient is φ = 777920.

The previous prime is 2241559. The next prime is 2241583. The reversal of 2241580 is 851422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2241583) 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, 4839 + ... + 5281.

It is an arithmetic number, because the mean of its divisors is an integer number (111888).

22241580 is an apocalyptic number.

2241580 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 2241580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685312).

2241580 is an abundant number, since it is smaller than the sum of its proper divisors (3129044).

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

2241580 is a wasteful number, since it uses less digits than its factorization.

2241580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2241580 is about 1497.1907026161. The cubic root of 2241580 is about 130.8734087771.

The spelling of 2241580 in words is "two million, two hundred forty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 443 460 506 886 1012 1265 1772 2215 2530 4430 4873 5060 8860 9746 10189 19492 20378 24365 40756 48730 50945 97460 101890 112079 203780 224158 448316 560395 1120790 2241580