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2270144 = 2679449
BaseRepresentation
bin1000101010001111000000
311021100001102
420222033000
51040121034
6120353532
725203332
oct10521700
94240042
102270144
111310658
129158a8
136163a6
14431452
152ec97e
hex22a3c0

2270144 has 28 divisors (see below), whose sum is σ = 4572000. Its totient is φ = 1118208.

The previous prime is 2270141. The next prime is 2270153. The reversal of 2270144 is 4410722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4832 + ... + 5280.

22270144 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 2270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286000).

2270144 is an abundant number, since it is smaller than the sum of its proper divisors (2301856).

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

2270144 is an equidigital number, since it uses as much as digits as its factorization.

2270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2270144 is about 1506.6997046525. The cubic root of 2270144 is about 131.4269619031.

Adding to 2270144 its reverse (4410722), we get a palindrome (6680866).

The spelling of 2270144 in words is "two million, two hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 79 158 316 449 632 898 1264 1796 2528 3592 5056 7184 14368 28736 35471 70942 141884 283768 567536 1135072 2270144