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2199361560 = 2335112337151
BaseRepresentation
bin1000001100010111…
…1001100000011000
312200021111010212120
42003011321200120
514001014032220
61002123541240
7105334156554
oct20305714030
95607433776
102199361560
11a29533990
1251468a820
13290869b96
1416c152864
15cd142a40
hex83179818

2199361560 has 128 divisors (see below), whose sum is σ = 7229813760. Its totient is φ = 530816000.

The previous prime is 2199361543. The next prime is 2199361597. The reversal of 2199361560 is 651639912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303985 + ... + 311135.

It is an arithmetic number, because the mean of its divisors is an integer number (56482920).

Almost surely, 22199361560 is an apocalyptic number.

2199361560 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 2199361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614906880).

2199361560 is an abundant number, since it is smaller than the sum of its proper divisors (5030452200).

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

2199361560 is a wasteful number, since it uses less digits than its factorization.

2199361560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 2199361560 is about 46897.3513111348. The cubic root of 2199361560 is about 1300.4656241334.

The spelling of 2199361560 in words is "two billion, one hundred ninety-nine million, three hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 233 264 330 440 466 660 699 932 1165 1320 1398 1864 2330 2563 2796 3495 4660 5126 5592 6990 7151 7689 9320 10252 12815 13980 14302 15378 20504 21453 25630 27960 28604 30756 35755 38445 42906 51260 57208 61512 71510 76890 78661 85812 102520 107265 143020 153780 157322 171624 214530 235983 286040 307560 314644 393305 429060 471966 629288 786610 858120 943932 1179915 1573220 1666183 1887864 2359830 3146440 3332366 4719660 4998549 6664732 8330915 9439320 9997098 13329464 16661830 18328013 19994196 24992745 33323660 36656026 39988392 49985490 54984039 66647320 73312052 91640065 99970980 109968078 146624104 183280130 199941960 219936156 274920195 366560260 439872312 549840390 733120520 1099680780 2199361560