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2144268 = 2232767127
BaseRepresentation
bin1000001011100000001100
311000221101100
420023200030
51022104033
6113543100
724140340
oct10134014
94027340
102144268
111235025
12874a90
135a0cc9
143db620
152c5513
hex20b80c

2144268 has 72 divisors (see below), whose sum is σ = 6336512. Its totient is φ = 598752.

The previous prime is 2144251. The next prime is 2144269. The reversal of 2144268 is 8624412.

It is not an unprimeable number, because it can be changed into a prime (2144269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16821 + ... + 16947.

22144268 is an apocalyptic number.

2144268 is a gapful number since it is divisible by the number (28) 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 2144268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168256).

2144268 is an abundant number, since it is smaller than the sum of its proper divisors (4192244).

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

2144268 is a wasteful number, since it uses less digits than its factorization.

2144268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 206 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2144268 is about 1464.3319295843. The cubic root of 2144268 is about 128.9514870763.

The spelling of 2144268 in words is "two million, one hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 127 134 201 252 254 268 381 402 469 508 603 762 804 889 938 1143 1206 1407 1524 1778 1876 2286 2412 2667 2814 3556 4221 4572 5334 5628 8001 8442 8509 10668 16002 16884 17018 25527 32004 34036 51054 59563 76581 102108 119126 153162 178689 238252 306324 357378 536067 714756 1072134 2144268