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2224092 = 2231353269
BaseRepresentation
bin1000011110111111011100
311011222212210
420132333130
51032132332
6115400420
724622143
oct10367734
94158783
102224092
111289aa2
128b3110
135cb440
1441c75a
152ddecc
hex21efdc

2224092 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 668928.

The previous prime is 2224073. The next prime is 2224099. The reversal of 2224092 is 2904222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8134 + ... + 8402.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

22224092 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 2224092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2224092 is an abundant number, since it is smaller than the sum of its proper divisors (3491268).

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

2224092 is a wasteful number, since it uses less digits than its factorization.

2224092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2224092 is about 1491.3389956680. The cubic root of 2224092 is about 130.5321774414.

The spelling of 2224092 in words is "two million, two hundred twenty-four thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 269 318 538 636 689 807 1076 1378 1614 2067 2756 3228 3497 4134 6994 8268 10491 13988 14257 20982 28514 41964 42771 57028 85542 171084 185341 370682 556023 741364 1112046 2224092