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2199240 = 2332541149
BaseRepresentation
bin1000011000111011001000
311010201210100
420120323020
51030333430
6115045400
724456531
oct10307310
94121710
102199240
11127235a
128a0860
135c0034
14413688
152d6960
hex218ec8

2199240 has 96 divisors (see below), whose sum is σ = 7371000. Its totient is φ = 568320.

The previous prime is 2199229. The next prime is 2199247. The reversal of 2199240 is 429912.

It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 1483524 = 846^2 + 1218^2 .

It is not an unprimeable number, because it can be changed into a prime (2199247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14686 + ... + 14834.

22199240 is an apocalyptic number.

2199240 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 2199240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685500).

2199240 is an abundant number, since it is smaller than the sum of its proper divisors (5171760).

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

2199240 is a wasteful number, since it uses less digits than its factorization.

2199240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2199240 is about 1482.9834793416. The cubic root of 2199240 is about 130.0441664527.

The spelling of 2199240 in words is "two million, one hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 149 164 180 205 246 298 328 360 369 410 447 492 596 615 738 745 820 894 984 1192 1230 1341 1476 1490 1640 1788 1845 2235 2460 2682 2952 2980 3576 3690 4470 4920 5364 5960 6109 6705 7380 8940 10728 12218 13410 14760 17880 18327 24436 26820 30545 36654 48872 53640 54981 61090 73308 91635 109962 122180 146616 183270 219924 244360 274905 366540 439848 549810 733080 1099620 2199240