Search a number
-
+
2181398800 = 245273532207
BaseRepresentation
bin1000001000000101…
…1000000100010000
312122000200112121011
42002001120010100
513431414230200
61000242540304
7105025404160
oct20201300420
95560615534
102181398800
11a1a385229
1250a667694
13289c1ab29
141699d85a0
15cb7955ba
hex82058110

2181398800 has 120 divisors (see below), whose sum is σ = 6009186816. Its totient is φ = 745451520.

The previous prime is 2181398777. The next prime is 2181398819. The reversal of 2181398800 is 88931812.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987297 + ... + 989503.

Almost surely, 22181398800 is an apocalyptic number.

2181398800 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 2181398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004593408).

2181398800 is an abundant number, since it is smaller than the sum of its proper divisors (3827788016).

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

2181398800 is a wasteful number, since it uses less digits than its factorization.

2181398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 2181398800 is about 46705.4472197837. The cubic root of 2181398800 is about 1296.9155275863.

The spelling of 2181398800 in words is "two billion, one hundred eighty-one million, three hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 353 400 560 700 706 1400 1412 1765 2207 2471 2800 2824 3530 4414 4942 5648 7060 8825 8828 9884 11035 12355 14120 15449 17650 17656 19768 22070 24710 28240 30898 35300 35312 39536 44140 49420 55175 61775 61796 70600 77245 88280 98840 110350 123550 123592 141200 154490 176560 197680 220700 247100 247184 308980 386225 441400 494200 617960 772450 779071 882800 988400 1235920 1544900 1558142 3089800 3116284 3895355 5453497 6179600 6232568 7790710 10906994 12465136 15581420 19476775 21813988 27267485 31162840 38953550 43627976 54534970 62325680 77907100 87255952 109069940 136337425 155814200 218139880 272674850 311628400 436279760 545349700 1090699400 2181398800