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2241023424 = 26378714831
BaseRepresentation
bin1000010110010011…
…0100110111000000
312210011212210012120
42011210310313000
514042200222144
61010212524240
7106351245663
oct20544646700
95704783176
102241023424
11a4aaaa082
12526620680
13299395c83
141738b96da
15d1b21e19
hex85934dc0

2241023424 has 56 divisors (see below), whose sum is σ = 5937308928. Its totient is φ = 746008320.

The previous prime is 2241023383. The next prime is 2241023441. The reversal of 2241023424 is 4243201422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2241023394 and 2241023403.

It is a congruent number.

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, 143689 + ... + 158519.

Almost surely, 22241023424 is an apocalyptic number.

2241023424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241023424 is an abundant number, since it is smaller than the sum of its proper divisors (3696285504).

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

2241023424 is a wasteful number, since it uses less digits than its factorization.

2241023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633 (or 15623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2241023424 is about 47339.4489194794. The cubic root of 2241023424 is about 1308.6257608647.

Adding to 2241023424 its reverse (4243201422), we get a palindrome (6484224846).

The spelling of 2241023424 in words is "two billion, two hundred forty-one million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 787 1574 2361 3148 4722 6296 9444 12592 14831 18888 25184 29662 37776 44493 50368 59324 75552 88986 118648 151104 177972 237296 355944 474592 711888 949184 1423776 2847552 11671997 23343994 35015991 46687988 70031982 93375976 140063964 186751952 280127928 373503904 560255856 747007808 1120511712 2241023424