Search a number
-
+
2223540 = 22325111123
BaseRepresentation
bin1000011110110110110100
311011222010100
420132312310
51032123130
6115354100
724620424
oct10366664
94158110
102223540
111289640
128b2930
135cb107
1441c484
152ddc60
hex21edb4

2223540 has 72 divisors (see below), whose sum is σ = 7364448. Its totient is φ = 538560.

The previous prime is 2223521. The next prime is 2223541. The reversal of 2223540 is 453222.

It is a super-3 number, since 3×22235403 = 32980413338453592000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419 + ... + 2541.

It is an arithmetic number, because the mean of its divisors is an integer number (102284).

22223540 is an apocalyptic number.

2223540 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 2223540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682224).

2223540 is an abundant number, since it is smaller than the sum of its proper divisors (5140908).

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

2223540 is a wasteful number, since it uses less digits than its factorization.

2223540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2223540 is about 1491.1539155969. The cubic root of 2223540 is about 130.5213775698.

Adding to 2223540 its reverse (453222), we get a palindrome (2676762).

The spelling of 2223540 in words is "two million, two hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1123 1980 2246 3369 4492 5615 6738 10107 11230 12353 13476 16845 20214 22460 24706 33690 37059 40428 49412 50535 61765 67380 74118 101070 111177 123530 148236 185295 202140 222354 247060 370590 444708 555885 741180 1111770 2223540