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2165326820 = 2251736071031
BaseRepresentation
bin1000000100010000…
…0100001111100100
312120220102222222122
42001010010033210
513413310424240
6554510245112
7104441655116
oct20104041744
95526388878
102165326820
11a112a80a8
125051b6798
132867b1597
141678133b6
15ca16d4b5
hex811043e4

2165326820 has 48 divisors (see below), whose sum is σ = 4585448448. Its totient is φ = 858871680.

The previous prime is 2165326799. The next prime is 2165326841. The reversal of 2165326820 is 286235612.

It is an interprime number because it is at equal distance from previous prime (2165326799) and next prime (2165326841).

It is a super-3 number, since 3×21653268203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2099705 + ... + 2100735.

It is an arithmetic number, because the mean of its divisors is an integer number (95530176).

Almost surely, 22165326820 is an apocalyptic number.

2165326820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165326820 is an abundant number, since it is smaller than the sum of its proper divisors (2420121628).

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

2165326820 is a wasteful number, since it uses less digits than its factorization.

2165326820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2165326820 is about 46533.0723249604. The cubic root of 2165326820 is about 1293.7225607536.

The spelling of 2165326820 in words is "two billion, one hundred sixty-five million, three hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 607 692 865 1031 1214 1730 2062 2428 3035 3460 4124 5155 6070 10310 12140 20620 105011 178363 210022 356726 420044 525055 625817 713452 891815 1050110 1251634 1783630 2100220 2503268 3129085 3567260 6258170 12516340 108266341 216532682 433065364 541331705 1082663410 2165326820