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232030013220 = 223251289055629
BaseRepresentation
bin1101100000011000010…
…0010000011100100100
3211011220120101221111100
43120012010100130210
512300144140410340
6254332040240100
722522630366515
oct3300604203444
9734816357440
10232030013220
118a448991205
1238b76470030
1318b5a139615
14b331d98a0c
1560803dd830
hex3606110724

232030013220 has 36 divisors (see below), whose sum is σ = 703824373980. Its totient is φ = 61874670144.

The previous prime is 232030013207. The next prime is 232030013233. The reversal of 232030013220 is 22310030232.

It is a happy number.

232030013220 is a `hidden beast` number, since 23 + 20 + 300 + 1 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (232030013207) and next prime (232030013233).

It can be written as a sum of positive squares in 2 ways, for example, as 39702156516 + 192327856704 = 199254^2 + 438552^2 .

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 = 232030013193 and 232030013202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644527635 + ... + 644527994.

It is an arithmetic number, because the mean of its divisors is an integer number (19550677055).

Almost surely, 2232030013220 is an apocalyptic number.

232030013220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232030013220 is an abundant number, since it is smaller than the sum of its proper divisors (471794360760).

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

232030013220 is a wasteful number, since it uses less digits than its factorization.

232030013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289055644 (or 1289055639 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232030013220 its reverse (22310030232), we get a palindrome (254340043452).

The spelling of 232030013220 in words is "two hundred thirty-two billion, thirty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1289055629 2578111258 3867166887 5156222516 6445278145 7734333774 11601500661 12890556290 15468667548 19335834435 23203001322 25781112580 38671668870 46406002644 58007503305 77343337740 116015006610 232030013220