Search a number
-
+
22004342040 = 2335183369517
BaseRepresentation
bin10100011111100011…
…111001110100011000
32002210112001101122010
4110133203321310120
5330031102421130
614035245225520
71406200551462
oct243743716430
962715041563
1022004342040
11937197194a
1243212622a0
1320c8a12445
1410ca591132
1588bbda0b0
hex51f8f9d18

22004342040 has 32 divisors (see below), whose sum is σ = 66013026480. Its totient is φ = 5867824512.

The previous prime is 22004342023. The next prime is 22004342047. The reversal of 22004342040 is 4024340022.

It is a super-2 number, since 2×220043420402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22004341998 and 22004342016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22004342047) by changing a digit.

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, 91684639 + ... + 91684878.

Almost surely, 222004342040 is an apocalyptic number.

22004342040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004342040 is an abundant number, since it is smaller than the sum of its proper divisors (44008684440).

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

22004342040 is a wasteful number, since it uses less digits than its factorization.

22004342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183369531 (or 183369527 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 22004342040 its reverse (4024340022), we get a palindrome (26028682062).

The spelling of 22004342040 in words is "twenty-two billion, four million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 183369517 366739034 550108551 733478068 916847585 1100217102 1466956136 1833695170 2200434204 2750542755 3667390340 4400868408 5501085510 7334780680 11002171020 22004342040