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2122232424 = 233136802027
BaseRepresentation
bin111111001111110…
…1011001001101000
312110220100120120220
41332133223021220
513321242414144
6550330450040
7103406451354
oct17637531150
95426316526
102122232424
11999a436a4
124b2893920
1327a8a3440
14161bd6464
15c64a9919
hex7e7eb268

2122232424 has 32 divisors (see below), whose sum is σ = 5713703520. Its totient is φ = 652994496.

The previous prime is 2122232423. The next prime is 2122232429. The reversal of 2122232424 is 4242322212.

It is a super-2 number, since 2×21222324242 = 9007740922953831552, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2122232394 and 2122232403.

It is not an unprimeable number, because it can be changed into a prime (2122232423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3400702 + ... + 3401325.

It is an arithmetic number, because the mean of its divisors is an integer number (178553235).

Almost surely, 22122232424 is an apocalyptic number.

2122232424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122232424 is an abundant number, since it is smaller than the sum of its proper divisors (3591471096).

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

2122232424 is a wasteful number, since it uses less digits than its factorization.

2122232424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802049 (or 6802045 counting only the distinct ones).

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

The square root of 2122232424 is about 46067.6939296944. The cubic root of 2122232424 is about 1285.0824181670.

Adding to 2122232424 its reverse (4242322212), we get a palindrome (6364554636).

The spelling of 2122232424 in words is "two billion, one hundred twenty-two million, two hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 6802027 13604054 20406081 27208108 40812162 54416216 81624324 88426351 163248648 176852702 265279053 353705404 530558106 707410808 1061116212 2122232424