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2127224 = 2311231051
BaseRepresentation
bin1000000111010101111000
311000002000002
420013111320
51021032344
6113332132
724036551
oct10072570
94002002
102127224
111223240
12867048
13596318
143d5328
152c044e
hex207578

2127224 has 32 divisors (see below), whose sum is σ = 4544640. Its totient is φ = 924000.

The previous prime is 2127163. The next prime is 2127269. The reversal of 2127224 is 4227212.

It is a happy number.

2127224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2127196 and 2127205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1499 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (142020).

22127224 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 2127224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272320).

2127224 is an abundant number, since it is smaller than the sum of its proper divisors (2417416).

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

2127224 is a wasteful number, since it uses less digits than its factorization.

2127224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

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

The square root of 2127224 is about 1458.5005999313. The cubic root of 2127224 is about 128.6089151128.

The spelling of 2127224 in words is "two million, one hundred twenty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1051 2024 2102 4204 8408 11561 23122 24173 46244 48346 92488 96692 193384 265903 531806 1063612 2127224