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2226620 = 2251129349
BaseRepresentation
bin1000011111100110111100
311012010100102
420133212330
51032222440
6115420232
724632414
oct10374674
94163312
102226620
111290990
128b4678
135cc636
1441d644
152deb15
hex21f9bc

2226620 has 48 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 779520.

The previous prime is 2226619. The next prime is 2226647. The reversal of 2226620 is 266222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2226592 and 2226601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6206 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

22226620 is an apocalyptic number.

2226620 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 2226620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646000).

2226620 is an abundant number, since it is smaller than the sum of its proper divisors (3065380).

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

2226620 is a wasteful number, since it uses less digits than its factorization.

2226620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2226620 is about 1492.1863154446. The cubic root of 2226620 is about 130.5816149044.

It can be divided in two parts, 2 and 226620, that added together give a palindrome (226622).

The spelling of 2226620 in words is "two million, two hundred twenty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 349 580 638 698 1276 1396 1595 1745 3190 3490 3839 6380 6980 7678 10121 15356 19195 20242 38390 40484 50605 76780 101210 111331 202420 222662 445324 556655 1113310 2226620