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2200000040 = 235721122449
BaseRepresentation
bin1000001100100001…
…0101011000101000
312200022200120200222
42003020111120220
514001200000130
61002145345212
7105342456200
oct20310253050
95608616628
102200000040
11a2992a657
12514938208
13290a31694
1416c27b400
15cd21bce5
hex83215628

2200000040 has 48 divisors (see below), whose sum is σ = 5758168500. Its totient is φ = 754285056.

The previous prime is 2200000031. The next prime is 2200000043. The reversal of 2200000040 is 400000022.

It can be written as a sum of positive squares in 2 ways, for example, as 2190427204 + 9572836 = 46802^2 + 3094^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2199999973 and 2200000027.

It is not an unprimeable number, because it can be changed into a prime (2200000043) 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 11 ways as a sum of consecutive naturals, for example, 559265 + ... + 563184.

Almost surely, 22200000040 is an apocalyptic number.

2200000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200000040 is an abundant number, since it is smaller than the sum of its proper divisors (3558168460).

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

2200000040 is a wasteful number, since it uses less digits than its factorization.

2200000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122474 (or 1122463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2200000040 is about 46904.1580246357. The cubic root of 2200000040 is about 1300.5914547338.

Adding to 2200000040 its reverse (400000022), we get a palindrome (2600000062).

The spelling of 2200000040 in words is "two billion, two hundred million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 1122449 2244898 4489796 5612245 7857143 8979592 11224490 15714286 22448980 31428572 39285715 44897960 55000001 62857144 78571430 110000002 157142860 220000004 275000005 314285720 440000008 550000010 1100000020 2200000040