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2244624 = 243101463
BaseRepresentation
bin1000100100000000010000
311020001001020
420210000100
51033311444
6120035440
725036044
oct10440020
94201036
102244624
1112a3468
12902b80
136078a5
14426024
152e5119
hex224010

2244624 has 40 divisors (see below), whose sum is σ = 5868672. Its totient is φ = 739200.

The previous prime is 2244623. The next prime is 2244631. The reversal of 2244624 is 4264422.

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 d-powerful number, because it can be written as 2 + 217 + 4 + 4 + 6 + 221 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 2244594 and 2244603.

It is not an unprimeable number, because it can be changed into a prime (2244623) 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, 4617 + ... + 5079.

22244624 is an apocalyptic number.

2244624 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 2244624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934336).

2244624 is an abundant number, since it is smaller than the sum of its proper divisors (3624048).

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

2244624 is a wasteful number, since it uses less digits than its factorization.

2244624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2244624 is about 1498.2069282980. The cubic root of 2244624 is about 130.9326227338.

The spelling of 2244624 in words is "two million, two hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 463 606 808 926 1212 1389 1616 1852 2424 2778 3704 4848 5556 7408 11112 22224 46763 93526 140289 187052 280578 374104 561156 748208 1122312 2244624