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2240280 = 2332572127
BaseRepresentation
bin1000100010111100011000
311012211002100
420202330120
51033142110
6120003400
725020300
oct10427430
94184070
102240280
1112a0179
12900560
13605913
14424600
152e3bc0
hex222f18

2240280 has 144 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 508032.

The previous prime is 2240267. The next prime is 2240291. The reversal of 2240280 is 820422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17577 + ... + 17703.

It is an arithmetic number, because the mean of its divisors is an integer number (59280).

22240280 is an apocalyptic number.

2240280 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 2240280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268160).

2240280 is an abundant number, since it is smaller than the sum of its proper divisors (6296040).

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

2240280 is a wasteful number, since it uses less digits than its factorization.

2240280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240280 is about 1496.7564932213. The cubic root of 2240280 is about 130.8481039576.

The spelling of 2240280 in words is "two million, two hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 127 140 147 168 180 196 210 245 252 254 280 294 315 360 381 392 420 441 490 504 508 588 630 635 735 762 840 882 889 980 1016 1143 1176 1260 1270 1470 1524 1764 1778 1905 1960 2205 2286 2520 2540 2667 2940 3048 3528 3556 3810 4410 4445 4572 5080 5334 5715 5880 6223 7112 7620 8001 8820 8890 9144 10668 11430 12446 13335 15240 16002 17640 17780 18669 21336 22860 24892 26670 31115 32004 35560 37338 40005 45720 49784 53340 56007 62230 64008 74676 80010 93345 106680 112014 124460 149352 160020 186690 224028 248920 280035 320040 373380 448056 560070 746760 1120140 2240280