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2247440 = 245132161
BaseRepresentation
bin1000100100101100010000
311020011220112
420210230100
51033404230
6120100452
725050206
oct10445420
94204815
102247440
1112a5598
12904728
13608c60
14427076
152e5d95
hex224b10

2247440 has 40 divisors (see below), whose sum is σ = 5629848. Its totient is φ = 829440.

The previous prime is 2247439. The next prime is 2247449. The reversal of 2247440 is 447422.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 2166784 = 284^2 + 1472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2247449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 2120.

22247440 is an apocalyptic number.

2247440 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 2247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814924).

2247440 is an abundant number, since it is smaller than the sum of its proper divisors (3382408).

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

2247440 is a wasteful number, since it uses less digits than its factorization.

2247440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 2247440 is about 1499.1464238026. The cubic root of 2247440 is about 130.9873538285.

The spelling of 2247440 in words is "two million, two hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2161 4322 8644 10805 17288 21610 28093 34576 43220 56186 86440 112372 140465 172880 224744 280930 449488 561860 1123720 2247440