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2199481440 = 253513352481
BaseRepresentation
bin1000001100011001…
…0110110001100000
312200021201020022120
42003012112301200
514001031401230
61002130304240
7105335166222
oct20306266140
95607636276
102199481440
11a29605a62
12514728080
132908ac610
1416c184412
15cd168310
hex83196c60

2199481440 has 96 divisors (see below), whose sum is σ = 7461338976. Its totient is φ = 541409280.

The previous prime is 2199481337. The next prime is 2199481457. The reversal of 2199481440 is 441849912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2199481392 and 2199481401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170001 + ... + 182480.

It is an arithmetic number, because the mean of its divisors is an integer number (77722281).

Almost surely, 22199481440 is an apocalyptic number.

2199481440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2199481440 is an abundant number, since it is smaller than the sum of its proper divisors (5261857536).

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

2199481440 is a wasteful number, since it uses less digits than its factorization.

2199481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352512 (or 352504 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2199481440 is about 46898.6294042800. The cubic root of 2199481440 is about 1300.4892517457.

The spelling of 2199481440 in words is "two billion, one hundred ninety-nine million, four hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 352481 704962 1057443 1409924 1762405 2114886 2819848 3524810 4229772 4582253 5287215 5639696 7049620 8459544 9164506 10574430 11279392 13746759 14099240 16919088 18329012 21148860 22911265 27493518 28198480 33838176 36658024 42297720 45822530 54987036 56396960 68733795 73316048 84595440 91645060 109974072 137467590 146632096 169190880 183290120 219948144 274935180 366580240 439896288 549870360 733160480 1099740720 2199481440