Search a number
-
+
2332400401122 = 231185941140163
BaseRepresentation
bin100001111100001101111…
…001011011101011100010
322020222022222211210101120
4201330031321123223202
5301203224000313442
64543253455113110
7330340025203311
oct41741571335342
98228288753346
102332400401122
1181a190247aa0
12318050212796
1313bc37b5445c
1480c62b62278
1540a0edba4ec
hex21f0de5bae2

2332400401122 has 32 divisors (see below), whose sum is σ = 5094797909760. Its totient is φ = 705965179920.

The previous prime is 2332400401043. The next prime is 2332400401141. The reversal of 2332400401122 is 2211040042332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2332400401092 and 2332400401101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20513388 + ... + 20626775.

It is an arithmetic number, because the mean of its divisors is an integer number (159212434680).

Almost surely, 22332400401122 is an apocalyptic number.

2332400401122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2332400401122 is an abundant number, since it is smaller than the sum of its proper divisors (2762397508638).

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

2332400401122 is a wasteful number, since it uses less digits than its factorization.

2332400401122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41141038.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2332400401122 its reverse (2211040042332), we get a palindrome (4543440443454).

The spelling of 2332400401122 in words is "two trillion, three hundred thirty-two billion, four hundred million, four hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 859 1718 2577 5154 9449 18898 28347 56694 41140163 82280326 123420489 246840978 452541793 905083586 1357625379 2715250758 35339400017 70678800034 106018200051 212036400102 388733400187 777466800374 1166200200561 2332400401122