Search a number
-
+
2242404032 = 26115953987
BaseRepresentation
bin1000010110101000…
…0101111011000000
312210021110221001012
42011222011323000
514043023412112
61010302300052
7106366056041
oct20552057300
95707427035
102242404032
11a50862380
12526b87628
1329975a4bb
14173b588c8
15d1ce6022
hex85a85ec0

2242404032 has 56 divisors (see below), whose sum is σ = 4936662720. Its totient is φ = 1001980160.

The previous prime is 2242403993. The next prime is 2242404071. The reversal of 2242404032 is 2304042422.

It is an interprime number because it is at equal distance from previous prime (2242403993) and next prime (2242404071).

It is a junction number, because it is equal to n+sod(n) for n = 2242403989 and 2242404007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14543 + ... + 68529.

Almost surely, 22242404032 is an apocalyptic number.

2242404032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468331360).

2242404032 is an abundant number, since it is smaller than the sum of its proper divisors (2694258688).

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

2242404032 is a wasteful number, since it uses less digits than its factorization.

2242404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54069 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2242404032 is about 47354.0286776109. The cubic root of 2242404032 is about 1308.8944369659.

Adding to 2242404032 its reverse (2304042422), we get a palindrome (4546446454).

The spelling of 2242404032 in words is "two billion, two hundred forty-two million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 176 236 352 472 649 704 944 1298 1888 2596 3776 5192 10384 20768 41536 53987 107974 215948 431896 593857 863792 1187714 1727584 2375428 3185233 3455168 4750856 6370466 9501712 12740932 19003424 25481864 35037563 38006848 50963728 70075126 101927456 140150252 203854912 280300504 560601008 1121202016 2242404032