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2240224 = 25773137
BaseRepresentation
bin1000100010111011100000
311012211000021
420202323200
51033141344
6120003224
725020160
oct10427340
94184007
102240224
1112a0128
12900514
1360589c
144245a0
152e3b84
hex222ee0

2240224 has 48 divisors (see below), whose sum is σ = 5146848. Its totient is φ = 940032.

The previous prime is 2240213. The next prime is 2240267. The reversal of 2240224 is 4220422.

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

It is a junction number, because it is equal to n+sod(n) for n = 2240198 and 2240207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16284 + ... + 16420.

It is an arithmetic number, because the mean of its divisors is an integer number (107226).

22240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573424).

2240224 is an abundant number, since it is smaller than the sum of its proper divisors (2906624).

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

2240224 is a wasteful number, since it uses less digits than its factorization.

2240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

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

The square root of 2240224 is about 1496.7377859866. The cubic root of 2240224 is about 130.8470136839.

Adding to 2240224 its reverse (4220422), we get a palindrome (6460646).

The spelling of 2240224 in words is "two million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 137 146 224 274 292 511 548 584 959 1022 1096 1168 1918 2044 2192 2336 3836 4088 4384 7672 8176 10001 15344 16352 20002 30688 40004 70007 80008 140014 160016 280028 320032 560056 1120112 2240224