Search a number
-
+
2280166740 = 2233522918439
BaseRepresentation
bin1000011111101000…
…1001010101010100
312212220112110202000
42013322021111110
514132210313430
61014131515300
7110335045305
oct20772112524
95786473660
102280166740
11a70105025
12537758b30
132a451c8b7
14178b887ac
15d52a4e60
hex87e89554

2280166740 has 96 divisors (see below), whose sum is σ = 7125216000. Its totient is φ = 605356416.

The previous prime is 2280166729. The next prime is 2280166751. The reversal of 2280166740 is 476610822.

It is an interprime number because it is at equal distance from previous prime (2280166729) and next prime (2280166751).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2280166695 and 2280166704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114441 + ... + 132879.

It is an arithmetic number, because the mean of its divisors is an integer number (74221000).

Almost surely, 22280166740 is an apocalyptic number.

2280166740 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 2280166740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562608000).

2280166740 is an abundant number, since it is smaller than the sum of its proper divisors (4845049260).

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

2280166740 is a wasteful number, since it uses less digits than its factorization.

2280166740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18686 (or 18678 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2280166740 is about 47751.0915058494. The cubic root of 2280166740 is about 1316.2009567688.

The spelling of 2280166740 in words is "two billion, two hundred eighty million, one hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 229 270 458 540 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6183 6870 8244 10305 12366 13740 18439 20610 24732 30915 36878 41220 55317 61830 73756 92195 110634 123660 165951 184390 221268 276585 331902 368780 497853 553170 663804 829755 995706 1106340 1659510 1991412 2489265 3319020 4222531 4978530 8445062 9957060 12667593 16890124 21112655 25335186 38002779 42225310 50670372 63337965 76005558 84450620 114008337 126675930 152011116 190013895 228016674 253351860 380027790 456033348 570041685 760055580 1140083370 2280166740