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2622240 = 25335607
BaseRepresentation
bin1010000000001100100000
311221020001000
422000030200
51132402430
6132112000
731201005
oct12001440
94836030
102622240
111531145
12a65600
1370a72a
144c38ac
1536be60
hex280320

2622240 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 698112.

The previous prime is 2622229. The next prime is 2622241. The reversal of 2622240 is 422262.

It is a happy number.

2622240 is a `hidden beast` number, since 2 + 622 + 2 + 40 = 666.

2622240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26222402 = 13752285235200, 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 23 + 63 + 29 + 219 + 221 + 43 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2622241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22622240 is an apocalyptic number.

2622240 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 2622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2622240 is an abundant number, since it is smaller than the sum of its proper divisors (6570720).

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

2622240 is a wasteful number, since it uses less digits than its factorization.

2622240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

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

The square root of 2622240 is about 1619.3331961026. Note that the first 3 decimals coincide. The cubic root of 2622240 is about 137.8978450030.

It can be divided in two parts, 26222 and 40, that added together give a palindrome (26262).

The spelling of 2622240 in words is "two million, six hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 607 720 864 1080 1214 1440 1821 2160 2428 3035 3642 4320 4856 5463 6070 7284 9105 9712 10926 12140 14568 16389 18210 19424 21852 24280 27315 29136 32778 36420 43704 48560 54630 58272 65556 72840 81945 87408 97120 109260 131112 145680 163890 174816 218520 262224 291360 327780 437040 524448 655560 874080 1311120 2622240