Search a number
-
+
22002300024 = 2334136716091
BaseRepresentation
bin10100011111011100…
…000111010001111000
32002210101012122111220
4110133130013101320
5330030042100044
614035133352040
71406144315205
oct243734072170
962711178456
1022002300024
1193707a7731
124320638620
1320c8478b53
1410ca1bccac
1588b935019
hex51f707478

22002300024 has 64 divisors (see below), whose sum is σ = 56371956480. Its totient is φ = 7152096000.

The previous prime is 22002299999. The next prime is 22002300037. The reversal of 22002300024 is 42000320022.

It is a super-2 number, since 2×220023000242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22002299976 and 22002300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3609219 + ... + 3615309.

It is an arithmetic number, because the mean of its divisors is an integer number (880811820).

Almost surely, 222002300024 is an apocalyptic number.

22002300024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22002300024 is an abundant number, since it is smaller than the sum of its proper divisors (34369656456).

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

22002300024 is a wasteful number, since it uses less digits than its factorization.

22002300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812 (or 9808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 22002300024 its reverse (42000320022), we get a palindrome (64002620046).

The spelling of 22002300024 in words is "twenty-two billion, two million, three hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 3671 6091 7342 11013 12182 14684 18273 22026 24364 29368 36546 44052 48728 73092 88104 146184 150511 249731 301022 451533 499462 602044 749193 903066 998924 1204088 1498386 1806132 1997848 2996772 3612264 5993544 22360061 44720122 67080183 89440244 134160366 178880488 268320732 536641464 916762501 1833525002 2750287503 3667050004 5500575006 7334100008 11001150012 22002300024