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2248560 = 24345347
BaseRepresentation
bin1000100100111101110000
311020020110000
420210331300
51033423220
6120110000
725053366
oct10447560
94206400
102248560
1112a6416
12905300
13609612
14427636
152e6390
hex224f70

2248560 has 100 divisors (see below), whose sum is σ = 7832088. Its totient is φ = 597888.

The previous prime is 2248537. The next prime is 2248567. The reversal of 2248560 is 658422.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6307 + ... + 6653.

22248560 is an apocalyptic number.

2248560 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 2248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916044).

2248560 is an abundant number, since it is smaller than the sum of its proper divisors (5583528).

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

2248560 is a wasteful number, since it uses less digits than its factorization.

2248560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2248560 is about 1499.5199231754. The cubic root of 2248560 is about 131.0091091698.

The spelling of 2248560 in words is "two million, two hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 347 360 405 432 540 648 694 720 810 1041 1080 1296 1388 1620 1735 2082 2160 2776 3123 3240 3470 4164 5205 5552 6246 6480 6940 8328 9369 10410 12492 13880 15615 16656 18738 20820 24984 27760 28107 31230 37476 41640 46845 49968 56214 62460 74952 83280 93690 112428 124920 140535 149904 187380 224856 249840 281070 374760 449712 562140 749520 1124280 2248560