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2226906 = 2331123163
BaseRepresentation
bin1000011111101011011010
311012010202000
420133223122
51032230111
6115421430
724633303
oct10375332
94163660
102226906
111291120
128b4876
135cc7c6
1441d7aa
152dec56
hex21fada

2226906 has 64 divisors (see below), whose sum is σ = 5667840. Its totient is φ = 641520.

The previous prime is 2226899. The next prime is 2226911. The reversal of 2226906 is 6096222.

It is a super-2 number, since 2×22269062 = 9918220665672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2226906.

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 31 ways as a sum of consecutive naturals, for example, 13581 + ... + 13743.

It is an arithmetic number, because the mean of its divisors is an integer number (88560).

22226906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833920).

2226906 is an abundant number, since it is smaller than the sum of its proper divisors (3440934).

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

2226906 is a wasteful number, since it uses less digits than its factorization.

2226906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2226906 is about 1492.2821449042. The cubic root of 2226906 is about 130.5872055520.

The spelling of 2226906 in words is "two million, two hundred twenty-six thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 163 198 207 253 297 326 414 489 506 594 621 759 978 1242 1467 1518 1793 2277 2934 3586 3749 4401 4554 5379 6831 7498 8802 10758 11247 13662 16137 22494 32274 33741 41239 48411 67482 82478 96822 101223 123717 202446 247434 371151 742302 1113453 2226906