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2286144 = 263672
BaseRepresentation
bin1000101110001001000000
311022011000000
420232021000
51041124034
6121000000
725301100
oct10561100
94264000
102286144
111321683
12923000
13620763
14437200
15302599
hex22e240

2286144 has 147 divisors (see below), whose sum is σ = 7912227. Its totient is φ = 653184.

The previous prime is 2286139. The next prime is 2286149. The reversal of 2286144 is 4416822.

It can be divided in two parts, 2 and 286144, that added together give a triangular number (286146 = T756).

The square root of 2286144 is 1512.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2286139) and next prime (2286149).

It is a tau number, because it is divible by the number of its divisors (147).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3072) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (2286149) 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 20 ways as a sum of consecutive naturals, for example, 326589 + ... + 326595.

22286144 is an apocalyptic number.

2286144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2286144 is the 1512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286144

2286144 is an abundant number, since it is smaller than the sum of its proper divisors (5626083).

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

2286144 is an frugal number, since it uses more digits than its factorization.

2286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

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

The cubic root of 2286144 is about 131.7350055608.

The spelling of 2286144 in words is "two million, two hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 378 392 432 441 448 486 504 567 576 588 648 672 729 756 784 864 882 972 1008 1134 1176 1296 1323 1344 1458 1512 1568 1701 1728 1764 1944 2016 2268 2352 2592 2646 2916 3024 3136 3402 3528 3888 3969 4032 4536 4704 5103 5184 5292 5832 6048 6804 7056 7776 7938 9072 9408 10206 10584 11664 11907 12096 13608 14112 15552 15876 18144 20412 21168 23328 23814 27216 28224 31752 35721 36288 40824 42336 46656 47628 54432 63504 71442 81648 84672 95256 108864 127008 142884 163296 190512 254016 285768 326592 381024 571536 762048 1143072 2286144