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2165990625 = 345543199
BaseRepresentation
bin1000000100011010…
…0110010011100001
312120221200201120000
42001012212103201
513413443200000
6554532410213
7104450421321
oct20106462341
95527621500
102165990625
11a117108a7
12505476969
13286984776
14167947281
15ca250000
hex811a64e1

2165990625 has 120 divisors (see below), whose sum is σ = 4159108800. Its totient is φ = 1122660000.

The previous prime is 2165990581. The next prime is 2165990627. The reversal of 2165990625 is 5260995612.

It is a happy number.

2165990625 is a `hidden beast` number, since 2 + 16 + 5 + 9 + 9 + 0 + 625 = 666.

It is not a de Polignac number, because 2165990625 - 214 = 2165974241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2165990627) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10884276 + ... + 10884474.

It is an arithmetic number, because the mean of its divisors is an integer number (34659240).

Almost surely, 22165990625 is an apocalyptic number.

2165990625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2165990625 is a deficient number, since it is larger than the sum of its proper divisors (1993118175).

2165990625 is an frugal number, since it uses more digits than its factorization.

2165990625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2165990625 is about 46540.2043936208. The cubic root of 2165990625 is about 1293.8547489226.

The spelling of 2165990625 in words is "two billion, one hundred sixty-five million, nine hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 125 129 135 199 215 225 375 387 405 597 625 645 675 995 1075 1125 1161 1791 1875 1935 2025 2985 3125 3225 3375 3483 4975 5373 5375 5625 5805 8557 8955 9375 9675 10125 14925 16119 16125 16875 17415 24875 25671 26865 26875 28125 29025 42785 44775 48375 50625 74625 77013 80595 80625 84375 87075 124375 128355 134325 134375 145125 213925 223875 231039 241875 253125 373125 385065 402975 403125 435375 621875 641775 671625 693117 725625 1069625 1119375 1155195 1209375 1865625 1925325 2014875 2176875 3208875 3358125 3465585 3628125 5348125 5596875 5775975 9626625 10074375 10884375 16044375 16790625 17327925 26740625 28879875 48133125 50371875 80221875 86639625 144399375 240665625 433198125 721996875 2165990625