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2206656 = 26331277
BaseRepresentation
bin1000011010101111000000
311011002222000
420122233000
51031103111
6115144000
724520254
oct10325700
94132860
102206656
111277991
128a5000
135c351a
14416264
152d8c56
hex21abc0

2206656 has 56 divisors (see below), whose sum is σ = 6492240. Its totient is φ = 734976.

The previous prime is 2206649. The next prime is 2206657. The reversal of 2206656 is 6566022.

2206656 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 656 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206657) 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, 1090 + ... + 2366.

22206656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246120).

2206656 is an abundant number, since it is smaller than the sum of its proper divisors (4285584).

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

2206656 is a wasteful number, since it uses less digits than its factorization.

2206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2206656 is about 1485.4817400426. The cubic root of 2206656 is about 130.1901753083.

It can be divided in two parts, 22066 and 56, that added together give a palindrome (22122).

The spelling of 2206656 in words is "two million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1277 1728 2554 3831 5108 7662 10216 11493 15324 20432 22986 30648 34479 40864 45972 61296 68958 81728 91944 122592 137916 183888 245184 275832 367776 551664 735552 1103328 2206656