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2226024 = 233243719
BaseRepresentation
bin1000011111011101101000
311012002112100
420133131220
51032213044
6115413400
724630603
oct10373550
94162470
102226024
111290499
128b4260
135cc298
1441d33a
152de869
hex21f768

2226024 has 48 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 723744.

The previous prime is 2226023. The next prime is 2226041. The reversal of 2226024 is 4206222.

It is a happy number.

2226024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2225988 and 2226006.

It is not an unprimeable number, because it can be changed into a prime (2226023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2737 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

22226024 is an apocalyptic number.

2226024 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 2226024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2226024 is an abundant number, since it is smaller than the sum of its proper divisors (3951576).

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

2226024 is a wasteful number, since it uses less digits than its factorization.

2226024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2226024 is about 1491.9865951140. The cubic root of 2226024 is about 130.5699629256.

The spelling of 2226024 in words is "two million, two hundred twenty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 719 774 1032 1438 1548 2157 2876 3096 4314 5752 6471 8628 12942 17256 25884 30917 51768 61834 92751 123668 185502 247336 278253 371004 556506 742008 1113012 2226024