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2220164240 = 245723172373
BaseRepresentation
bin1000010001010101…
…0000010010010000
312201201122000210012
42010111100102100
514021330223430
61004145454052
7106006041020
oct20425202220
95651560705
102220164240
11a3a252288
1251b641328
13294c71768
14170c09a80
15ceda1695
hex84550490

2220164240 has 80 divisors (see below), whose sum is σ = 6155820288. Its totient is φ = 728099328.

The previous prime is 2220164213. The next prime is 2220164251. The reversal of 2220164240 is 424610222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73307 + ... + 99066.

Almost surely, 22220164240 is an apocalyptic number.

2220164240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220164240 is an abundant number, since it is smaller than the sum of its proper divisors (3935656048).

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

2220164240 is a wasteful number, since it uses less digits than its factorization.

2220164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172416 (or 172410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2220164240 is about 47118.6188252585. The cubic root of 2220164240 is about 1304.5529195707.

Adding to 2220164240 its reverse (424610222), we get a palindrome (2644774462).

The spelling of 2220164240 in words is "two billion, two hundred twenty million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 172373 344746 689492 861865 1206611 1378984 1723730 2413222 2757968 3447460 3964579 4826444 6033055 6894920 7929158 9652888 12066110 13789840 15858316 19305776 19822895 24132220 27752053 31716632 39645790 48264440 55504106 63433264 79291580 96528880 111008212 138760265 158583160 222016424 277520530 317166320 444032848 555041060 1110082120 2220164240