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2191424 = 2697353
BaseRepresentation
bin1000010111000001000000
311010100001212
420113001000
51030111144
6114545252
724424664
oct10270100
94110055
102191424
1112674a4
12898228
135b9601
144108a4
152d449e
hex217040

2191424 has 28 divisors (see below), whose sum is σ = 4405884. Its totient is φ = 1081344.

The previous prime is 2191393. The next prime is 2191429. The reversal of 2191424 is 4241912.

It can be written as a sum of positive squares in 2 ways, for example, as 937024 + 1254400 = 968^2 + 1120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2191424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191429) 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, 6032 + ... + 6384.

It is an arithmetic number, because the mean of its divisors is an integer number (157353).

22191424 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 2191424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202942).

2191424 is an abundant number, since it is smaller than the sum of its proper divisors (2214460).

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

2191424 is an equidigital number, since it uses as much as digits as its factorization.

2191424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 2191424 is about 1480.3459055234. The cubic root of 2191424 is about 129.8899265489.

The spelling of 2191424 in words is "two million, one hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 97 194 353 388 706 776 1412 1552 2824 3104 5648 6208 11296 22592 34241 68482 136964 273928 547856 1095712 2191424