Search a number
-
+
2189729760 = 25354561937
BaseRepresentation
bin1000001010000100…
…1001111111100000
312122121100210112020
42002201021333200
513441032323020
61001141301440
7105156252531
oct20241117740
95577323466
102189729760
11a24055419
12511404880
1328b876aaa
1416ab66688
15cc38dc40
hex82849fe0

2189729760 has 48 divisors (see below), whose sum is σ = 6897650256. Its totient is φ = 583927808.

The previous prime is 2189729747. The next prime is 2189729779. The reversal of 2189729760 is 679279812.

It is a tau number, because it is divible by the number of its divisors (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 7 ways as a sum of consecutive naturals, for example, 2280489 + ... + 2281448.

It is an arithmetic number, because the mean of its divisors is an integer number (143701047).

Almost surely, 22189729760 is an apocalyptic number.

2189729760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189729760 is an abundant number, since it is smaller than the sum of its proper divisors (4707920496).

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

2189729760 is a wasteful number, since it uses less digits than its factorization.

2189729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561955 (or 4561947 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 2189729760 is about 46794.5484004280. The cubic root of 2189729760 is about 1298.5644429477.

The spelling of 2189729760 in words is "two billion, one hundred eighty-nine million, seven hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4561937 9123874 13685811 18247748 22809685 27371622 36495496 45619370 54743244 68429055 72990992 91238740 109486488 136858110 145981984 182477480 218972976 273716220 364954960 437945952 547432440 729909920 1094864880 2189729760