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2161066600 = 2352721120047
BaseRepresentation
bin1000000011001111…
…0100001001101000
312120121102120001201
42000303310021220
513411213112400
6554235053544
7104360522500
oct20063641150
95517376051
102161066600
11a09958360
125038a12b4
1328594c444
14167024a00
15c9acb06a
hex80cf4268

2161066600 has 144 divisors (see below), whose sum is σ = 6376466880. Its totient is φ = 673545600.

The previous prime is 2161066543. The next prime is 2161066613. The reversal of 2161066600 is 66601612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97777 + ... + 117823.

It is an arithmetic number, because the mean of its divisors is an integer number (44281020).

Almost surely, 22161066600 is an apocalyptic number.

2161066600 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 2161066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188233440).

2161066600 is an abundant number, since it is smaller than the sum of its proper divisors (4215400280).

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

2161066600 is a wasteful number, since it uses less digits than its factorization.

2161066600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20088 (or 20072 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2161066600 is about 46487.2735272784. The cubic root of 2161066600 is about 1292.8735493811.

The spelling of 2161066600 in words is "two billion, one hundred sixty-one million, sixty-six thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 20047 21560 26950 40094 53900 80188 100235 107800 140329 160376 200470 220517 280658 400940 441034 501175 561316 701645 801880 882068 982303 1002350 1102585 1122632 1403290 1543619 1764136 1964606 2004700 2205170 2806580 3087238 3508225 3929212 4009400 4410340 4911515 5512925 5613160 6174476 7016450 7718095 7858424 8820680 9823030 10805333 11025850 12348952 14032900 15436190 19646060 21610666 22051700 24557575 28065800 30872380 38590475 39292120 43221332 44103400 49115150 54026665 61744760 77180950 86442664 98230300 108053330 154361900 196460600 216106660 270133325 308723800 432213320 540266650 1080533300 2161066600