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2166189168 = 2431113401787
BaseRepresentation
bin1000000100011101…
…0110110001110000
312120222001210220110
42001013112301300
513414021023133
6554540541320
7104452206213
oct20107266160
95528053813
102166189168
11a11836a90
12505551840
13286a23c50
1416799977a
15ca28dc63
hex811d6c70

2166189168 has 160 divisors (see below), whose sum is σ = 6599077632. Its totient is φ = 603648000.

The previous prime is 2166189143. The next prime is 2166189173. The reversal of 2166189168 is 8619816612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2752071 + ... + 2752857.

Almost surely, 22166189168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166189168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299538816).

2166189168 is an abundant number, since it is smaller than the sum of its proper divisors (4432888464).

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

2166189168 is a wasteful number, since it uses less digits than its factorization.

2166189168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 2166189168 is about 46542.3373714729. The cubic root of 2166189168 is about 1293.8942809427.

The spelling of 2166189168 in words is "two billion, one hundred sixty-six million, one hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 401 429 528 572 624 787 802 858 1144 1203 1574 1604 1716 2288 2361 2406 3148 3208 3432 4411 4722 4812 5213 6296 6416 6864 8657 8822 9444 9624 10231 10426 12592 13233 15639 17314 17644 18888 19248 20462 20852 25971 26466 30693 31278 34628 35288 37776 40924 41704 51942 52932 57343 61386 62556 69256 70576 81848 83408 103884 105864 112541 114686 122772 125112 138512 163696 172029 207768 211728 225082 229372 245544 250224 315587 337623 344058 415536 450164 458744 491088 631174 675246 688116 900328 917488 946761 1262348 1350492 1376232 1800656 1893522 2524696 2700984 2752464 3471457 3787044 4102631 5049392 5401968 6942914 7574088 8205262 10414371 12307893 13885828 15148176 16410524 20828742 24615786 27771656 32821048 41657484 45128941 49231572 55543312 65642096 83314968 90257882 98463144 135386823 166629936 180515764 196926288 270773646 361031528 541547292 722063056 1083094584 2166189168