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2166122820 = 223537975731
BaseRepresentation
bin1000000100011100…
…0110100101000100
312120221221102220010
42001013012211010
513414011412240
6554535310220
7104451511611
oct20107064504
95527842803
102166122820
11a117a1154
1250551b370
132869cc9a4
1416797d508
15ca279280
hex811c6944

2166122820 has 48 divisors (see below), whose sum is σ = 6229073088. Its totient is φ = 562020480.

The previous prime is 2166122731. The next prime is 2166122831. The reversal of 2166122820 is 282216612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485646 + ... + 490085.

It is an arithmetic number, because the mean of its divisors is an integer number (129772356).

Almost surely, 22166122820 is an apocalyptic number.

2166122820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166122820 is an abundant number, since it is smaller than the sum of its proper divisors (4062950268).

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

2166122820 is a wasteful number, since it uses less digits than its factorization.

2166122820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975780 (or 975778 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2166122820 is about 46541.6245956241. The cubic root of 2166122820 is about 1293.8810706200.

The spelling of 2166122820 in words is "two billion, one hundred sixty-six million, one hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 975731 1951462 2927193 3902924 4878655 5854386 9757310 11708772 14635965 19514620 29271930 36102047 58543860 72204094 108306141 144408188 180510235 216612282 361020470 433224564 541530705 722040940 1083061410 2166122820