Search a number
-
+
2422040420 = 225121102021
BaseRepresentation
bin1001000001011101…
…0110011101100100
320020210111101211202
42100113112131210
514430020243140
61040200422032
7114010001222
oct22027263544
96223441752
102422040420
1110331a68a8
12577177918
132c7a34a17
1418d959b12
15e297b915
hex905d6764

2422040420 has 12 divisors (see below), whose sum is σ = 5086284924. Its totient is φ = 968816160.

The previous prime is 2422040407. The next prime is 2422040431. The reversal of 2422040420 is 240402242.

It can be written as a sum of positive squares in 2 ways, for example, as 678810916 + 1743229504 = 26054^2 + 41752^2 .

It is a super-2 number, since 2×24220404202 = 11732559592227552800, which contains 22 as substring.

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: 121102021 = 2422040420 / (2 + 4 + 2 + 2 + 0 + 4 + 0 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2422040392 and 2422040401.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60550991 + ... + 60551030.

It is an arithmetic number, because the mean of its divisors is an integer number (423857077).

Almost surely, 22422040420 is an apocalyptic number.

2422040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422040420 is an abundant number, since it is smaller than the sum of its proper divisors (2664244504).

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

2422040420 is a wasteful number, since it uses less digits than its factorization.

2422040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121102030 (or 121102028 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2422040420 is about 49214.2298527570. The cubic root of 2422040420 is about 1342.9519129800.

Adding to 2422040420 its reverse (240402242), we get a palindrome (2662442662).

The spelling of 2422040420 in words is "two billion, four hundred twenty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 121102021 242204042 484408084 605510105 1211020210 2422040420