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2242210404040 = 235531057646417
BaseRepresentation
bin100000101000001110001…
…001111001011011001000
321221100112111110020021021
4200220032021321123020
5243214021330412130
64434020210322224
7320665030653355
oct40501611713310
97840474406237
102242210404040
11794a09356322
1230267b889374
1313359386ab89
147a74892762c
153d4d200d37a
hex20a0e2796c8

2242210404040 has 32 divisors (see below), whose sum is σ = 5140161591480. Its totient is φ = 879961818112.

The previous prime is 2242210404037. The next prime is 2242210404041. The reversal of 2242210404040 is 404040122422.

It can be written as a sum of positive squares in 4 ways, for example, as 2238967557124 + 3242846916 = 1496318^2 + 56946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2242210403996 and 2242210404014.

It is not an unprimeable number, because it can be changed into a prime (2242210404041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528821089 + ... + 528825328.

Almost surely, 22242210404040 is an apocalyptic number.

2242210404040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242210404040 is an abundant number, since it is smaller than the sum of its proper divisors (2897951187440).

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

2242210404040 is a wasteful number, since it uses less digits than its factorization.

2242210404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057646481 (or 1057646477 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2242210404040 its reverse (404040122422), we get a palindrome (2646250526462).

The spelling of 2242210404040 in words is "two trillion, two hundred forty-two billion, two hundred ten million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 1057646417 2115292834 4230585668 5288232085 8461171336 10576464170 21152928340 42305856680 56055260101 112110520202 224221040404 280276300505 448442080808 560552601010 1121105202020 2242210404040