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232211140020 = 223251290061889
BaseRepresentation
bin1101100001000011011…
…1001100110110110100
3211012101012020010202100
43120100313030312310
512301032022440040
6254402030342100
722530260060136
oct3302067146664
9735335203670
10232211140020
118a531153482
123900705a930
1318b88816342
14b34c067056
15609126ab30
hex3610dccdb4

232211140020 has 36 divisors (see below), whose sum is σ = 704373791940. Its totient is φ = 61922970624.

The previous prime is 232211140013. The next prime is 232211140087. The reversal of 232211140020 is 20041112232.

It is a happy number.

232211140020 is a `hidden beast` number, since 2 + 32 + 211 + 1 + 400 + 20 = 666.

232211140020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 96947540496 + 135263599524 = 311364^2 + 367782^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232211139975 and 232211140002.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 645030765 + ... + 645031124.

It is an arithmetic number, because the mean of its divisors is an integer number (19565938665).

Almost surely, 2232211140020 is an apocalyptic number.

232211140020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232211140020 is an abundant number, since it is smaller than the sum of its proper divisors (472162651920).

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

232211140020 is a wasteful number, since it uses less digits than its factorization.

232211140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290061904 (or 1290061899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232211140020 its reverse (20041112232), we get a palindrome (252252252252).

The spelling of 232211140020 in words is "two hundred thirty-two billion, two hundred eleven million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1290061889 2580123778 3870185667 5160247556 6450309445 7740371334 11610557001 12900618890 15480742668 19350928335 23221114002 25801237780 38701856670 46442228004 58052785005 77403713340 116105570010 232211140020