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2246020 = 225761263
BaseRepresentation
bin1000100100010110000100
311020002221221
420210112010
51033333040
6120050124
725043110
oct10442604
94202857
102246020
1112a4517
12903944
1360840a
14426740
152e574a
hex224584

2246020 has 48 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 754560.

The previous prime is 2246017. The next prime is 2246039. The reversal of 2246020 is 206422.

2246020 = T56 + T57 + ... + T238.

It is a junction number, because it is equal to n+sod(n) for n = 2245985 and 2246003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8409 + ... + 8671.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

22246020 is an apocalyptic number.

2246020 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 2246020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2246020 is an abundant number, since it is smaller than the sum of its proper divisors (3253628).

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

2246020 is a wasteful number, since it uses less digits than its factorization.

2246020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2246020 is about 1498.6727461324. The cubic root of 2246020 is about 130.9597607700.

The spelling of 2246020 in words is "two million, two hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 263 305 427 526 610 854 1052 1220 1315 1708 1841 2135 2630 3682 4270 5260 7364 8540 9205 16043 18410 32086 36820 64172 80215 112301 160430 224602 320860 449204 561505 1123010 2246020