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2226240 = 26325773
BaseRepresentation
bin1000011111100001000000
311012002211100
420133201000
51032214430
6115414400
724631332
oct10374100
94162740
102226240
111290675
128b4400
135cc403
1441d452
152de960
hex21f840

2226240 has 84 divisors (see below), whose sum is σ = 7667244. Its totient is φ = 592896.

The previous prime is 2226229. The next prime is 2226241. The reversal of 2226240 is 426222.

It is a happy number.

2226240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 1806336 = 648^2 + 1344^2 .

It is a super-2 number, since 2×22262402 = 9912289075200, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 28 + 214 + 216 + 66 + 221 + 44 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226241) 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, 2494 + ... + 3266.

22226240 is an apocalyptic number.

2226240 is a gapful number since it is divisible by the number (20) 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 2226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833622).

2226240 is an abundant number, since it is smaller than the sum of its proper divisors (5441004).

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

2226240 is a wasteful number, since it uses less digits than its factorization.

2226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

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

The square root of 2226240 is about 1492.0589800675. The cubic root of 2226240 is about 130.5741860306.

Subtracting from 2226240 its sum of digits (18), we obtain a palindrome (2226222).

It can be divided in two parts, 222 and 6240, that multiplied together give a triangular number (1385280 = T1664).

The spelling of 2226240 in words is "two million, two hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 773 960 1440 1546 2319 2880 3092 3865 4638 6184 6957 7730 9276 11595 12368 13914 15460 18552 23190 24736 27828 30920 34785 37104 46380 49472 55656 61840 69570 74208 92760 111312 123680 139140 148416 185520 222624 247360 278280 371040 445248 556560 742080 1113120 2226240