Search a number
-
+
232213221020 = 225111889558769
BaseRepresentation
bin1101100001000011111…
…1001000111010011100
3211012101100010212100102
43120100333020322130
512301033041033040
6254402143120232
722530313545164
oct3302077107234
9735340125312
10232213221020
118a532344a10
12390078a3078
1318b890945c1
14b34c4495a4
15609152c515
hex3610fc8e9c

232213221020 has 48 divisors (see below), whose sum is σ = 532261951200. Its totient is φ = 84396318720.

The previous prime is 232213221017. The next prime is 232213221061. The reversal of 232213221020 is 20122312232.

It is a happy number.

232213221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232213220983 and 232213221001.

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 15 ways as a sum of consecutive naturals, for example, 136196 + ... + 694964.

It is an arithmetic number, because the mean of its divisors is an integer number (11088790650).

Almost surely, 2232213221020 is an apocalyptic number.

232213221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232213221020 is an abundant number, since it is smaller than the sum of its proper divisors (300048730180).

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

232213221020 is a wasteful number, since it uses less digits than its factorization.

232213221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560678 (or 560676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232213221020 its reverse (20122312232), we get a palindrome (252335533252).

The spelling of 232213221020 in words is "two hundred thirty-two billion, two hundred thirteen million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1889 3778 7556 9445 18890 20779 37780 41558 83116 103895 207790 415580 558769 1117538 2235076 2793845 5587690 6146459 11175380 12292918 24585836 30732295 61464590 122929180 1055514641 2111029282 4222058564 5277573205 10555146410 11610661051 21110292820 23221322102 46442644204 58053305255 116106610510 232213221020