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2242220040 = 233256228389
BaseRepresentation
bin1000010110100101…
…1001000000001000
312210021010120122200
42011221121000020
514043002020130
61010254320200
7106364361444
oct20551310010
95707116580
102242220040
11a50747115
12526ab9060
132996c4828
14173b0b824
15d1cab760
hex85a59008

2242220040 has 48 divisors (see below), whose sum is σ = 7287216300. Its totient is φ = 597925248.

The previous prime is 2242220033. The next prime is 2242220063. The reversal of 2242220040 is 400222422.

2242220040 is a `hidden beast` number, since 2 + 2 + 422 + 200 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2048286564 + 193933476 = 45258^2 + 13926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2242219995 and 2242220022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3113835 + ... + 3114554.

Almost surely, 22242220040 is an apocalyptic number.

2242220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242220040 is an abundant number, since it is smaller than the sum of its proper divisors (5044996260).

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

2242220040 is a wasteful number, since it uses less digits than its factorization.

2242220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228406 (or 6228399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2242220040 is about 47352.0859097041. The cubic root of 2242220040 is about 1308.8586371890.

Adding to 2242220040 its reverse (400222422), we get a palindrome (2642442462).

The spelling of 2242220040 in words is "two billion, two hundred forty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6228389 12456778 18685167 24913556 31141945 37370334 49827112 56055501 62283890 74740668 93425835 112111002 124567780 149481336 186851670 224222004 249135560 280277505 373703340 448444008 560555010 747406680 1121110020 2242220040