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2288166660 = 2232513977849
BaseRepresentation
bin1000100001100010…
…1010011100000100
312220110120220120100
42020120222130010
514141232313120
61015015204100
7110463044553
oct21030523404
95813526510
102288166660
11a7467952a
1253a376630
132a6090c90
14179c6bd9a
15d5d35490
hex8862a704

2288166660 has 72 divisors (see below), whose sum is σ = 7474685400. Its totient is φ = 563240448.

The previous prime is 2288166607. The next prime is 2288166667. The reversal of 2288166660 is 666618822.

It can be written as a sum of positive squares in 4 ways, for example, as 93431556 + 2194735104 = 9666^2 + 46848^2 .

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 (2288166667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 486585 + ... + 491264.

It is an arithmetic number, because the mean of its divisors is an integer number (103815075).

Almost surely, 22288166660 is an apocalyptic number.

2288166660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2288166660 is an abundant number, since it is smaller than the sum of its proper divisors (5186518740).

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

2288166660 is a wasteful number, since it uses less digits than its factorization.

2288166660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977877 (or 977872 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2288166660 is about 47834.7850418500. The cubic root of 2288166660 is about 1317.7384484408.

The spelling of 2288166660 in words is "two billion, two hundred eighty-eight million, one hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 977849 1955698 2933547 3911396 4889245 5867094 8800641 9778490 11734188 12712037 14667735 17601282 19556980 25424074 29335470 35202564 38136111 44003205 50848148 58670940 63560185 76272222 88006410 114408333 127120370 152544444 176012820 190680555 228816666 254240740 381361110 457633332 572041665 762722220 1144083330 2288166660