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2291424 = 25323869
BaseRepresentation
bin1000101111011011100000
311022102020120
420233123200
51041311144
6121040240
725322352
oct10573340
94272216
102291424
111325643
12926080
13622c95
144390d2
15303e19
hex22f6e0

2291424 has 24 divisors (see below), whose sum is σ = 6015240. Its totient is φ = 763776.

The previous prime is 2291417. The next prime is 2291437. The reversal of 2291424 is 4241922.

2291424 is nontrivially palindromic in base 7.

2291424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2291394 and 2291403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11839 + ... + 12030.

It is an arithmetic number, because the mean of its divisors is an integer number (250635).

22291424 is an apocalyptic number.

2291424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2291424 is an abundant number, since it is smaller than the sum of its proper divisors (3723816).

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

2291424 is a wasteful number, since it uses less digits than its factorization.

2291424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23882 (or 23874 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2291424 is about 1513.7450247647. The cubic root of 2291424 is about 131.8363444724.

It can be divided in two parts, 229 and 1424, that added together give a triangular number (1653 = T57).

The spelling of 2291424 in words is "two million, two hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23869 47738 71607 95476 143214 190952 286428 381904 572856 763808 1145712 2291424