Search a number
-
+
2422401140 = 225121120057
BaseRepresentation
bin1001000001100010…
…1110100001110100
320020211011201122202
42100120232201310
514430113314030
61040212244032
7114013032665
oct22030564164
96224151582
102422401140
111033422915
12577310618
132c7b2cc73
1418da1136c
15e29ed745
hex9062e874

2422401140 has 12 divisors (see below), whose sum is σ = 5087042436. Its totient is φ = 968960448.

The previous prime is 2422401131. The next prime is 2422401161. The reversal of 2422401140 is 411042242.

It can be written as a sum of positive squares in 2 ways, for example, as 1906020964 + 516380176 = 43658^2 + 22724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 121120057 = 2422401140 / (2 + 4 + 2 + 2 + 4 + 0 + 1 + 1 + 4 + 0).

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 3 ways as a sum of consecutive naturals, for example, 60560009 + ... + 60560048.

It is an arithmetic number, because the mean of its divisors is an integer number (423920203).

Almost surely, 22422401140 is an apocalyptic number.

2422401140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422401140 is an abundant number, since it is smaller than the sum of its proper divisors (2664641296).

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

2422401140 is a wasteful number, since it uses less digits than its factorization.

2422401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121120066 (or 121120064 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2422401140 is about 49217.8945100255. The cubic root of 2422401140 is about 1343.0185793003.

Adding to 2422401140 its reverse (411042242), we get a palindrome (2833443382).

The spelling of 2422401140 in words is "two billion, four hundred twenty-two million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 121120057 242240114 484480228 605600285 1211200570 2422401140