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2266224 = 243311523
BaseRepresentation
bin1000101001010001110000
311021010200020
420221101300
51040004344
6120323440
725156032
oct10512160
94233606
102266224
111308714
12913580
1361467c
1442dc52
152eb719
hex229470

2266224 has 40 divisors (see below), whose sum is σ = 6047232. Its totient is φ = 730560.

The previous prime is 2266223. The next prime is 2266237. The reversal of 2266224 is 4226622.

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

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2266194 and 2266203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 2249.

22266224 is an apocalyptic number.

2266224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023616).

2266224 is an abundant number, since it is smaller than the sum of its proper divisors (3781008).

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

2266224 is a wasteful number, since it uses less digits than its factorization.

2266224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1559 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2266224 is about 1505.3982861688. The cubic root of 2266224 is about 131.3512705938.

The spelling of 2266224 in words is "two million, two hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1523 3046 4569 6092 9138 12184 18276 24368 36552 47213 73104 94426 141639 188852 283278 377704 566556 755408 1133112 2266224