Search a number
-
+
2242404402024 = 233382392443409
BaseRepresentation
bin100000101000011001101…
…101111100001101101000
321221101001000111100110210
4200220121231330031220
5243214421011331044
64434051340341120
7321002604632223
oct40503155741550
97841030440423
102242404402024
11794aa8909936
123027148447a0
131335c4b03297
147a7665c65ba
153d4e407e1b9
hex20a19b7c368

2242404402024 has 32 divisors (see below), whose sum is σ = 5606159904000. Its totient is φ = 747448280832.

The previous prime is 2242404401917. The next prime is 2242404402047. The reversal of 2242404402024 is 4202044042422.

It is a happy number.

It is a super-2 number, since 2×22424044020242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2242404401982 and 2242404402000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303969 + ... + 2139440.

It is an arithmetic number, because the mean of its divisors is an integer number (175192497000).

Almost surely, 22242404402024 is an apocalyptic number.

2242404402024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242404402024 is an abundant number, since it is smaller than the sum of its proper divisors (3363755501976).

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

2242404402024 is a wasteful number, since it uses less digits than its factorization.

2242404402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481657 (or 2481653 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2242404402024 its reverse (4202044042422), we get a palindrome (6444448444446).

It can be divided in two parts, 224240 and 4402024, that added together give a palindrome (4626264).

The spelling of 2242404402024 in words is "two trillion, two hundred forty-two billion, four hundred four million, four hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 38239 76478 114717 152956 229434 305912 458868 917736 2443409 4886818 7330227 9773636 14660454 19547272 29320908 58641816 93433516751 186867033502 280300550253 373734067004 560601100506 747468134008 1121202201012 2242404402024