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BaseRepresentation
bin1000101110001001000000
311022011000000
420232021000
51041124034
6121000000
725301100
oct10561100
94264000
102286144
111321683
12923000
13620763
14437200
15302599
hex22e240

2286144 has 147 divisors (see below), whose sum is σ = 7912227. Its totient is φ = 653184.

The previous prime is 2286139. The next prime is 2286149. The reversal of 2286144 is 4416822.

It can be divided in two parts, 2 and 286144, that added together give a triangular number (286146 = T756).

The square root of 2286144 is 1512.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2286139) and next prime (2286149).

It is a tau number, because it is divible by the number of its divisors (147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3072) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (2286149) 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 20 ways as a sum of consecutive naturals, for example, 326589 + ... + 326595.

22286144 is an apocalyptic number.

2286144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2286144 is the 1512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286144

2286144 is an abundant number, since it is smaller than the sum of its proper divisors (5626083).

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

2286144 is an frugal number, since it uses more digits than its factorization.

2286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The cubic root of 2286144 is about 131.7350055608.

The spelling of 2286144 in words is "two million, two hundred eighty-six thousand, one hundred forty-four".