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2242240 = 265721113
BaseRepresentation
bin1000100011011011000000
311012220202221
420203123000
51033222430
6120020424
725026100
oct10433300
94186687
102242240
1112a16a0
12901714
13606790
14425200
152e457a
hex2236c0

2242240 has 168 divisors, whose sum is σ = 7296912. Its totient is φ = 645120.

The previous prime is 2242231. The next prime is 2242277. The reversal of 2242240 is 422422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172474 + ... + 172486.

It is an arithmetic number, because the mean of its divisors is an integer number (43434).

22242240 is an apocalyptic number.

2242240 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 2242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648456).

2242240 is an abundant number, since it is smaller than the sum of its proper divisors (5054672).

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

2242240 is a wasteful number, since it uses less digits than its factorization.

2242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2242240 is about 1497.4110991975. The cubic root of 2242240 is about 130.8862520950.

Adding to 2242240 its reverse (422422), we get a palindrome (2664662).

It can be divided in two parts, 2 and 242240, that added together give a palindrome (242242).

The spelling of 2242240 in words is "two million, two hundred forty-two thousand, two hundred forty".