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232300020 = 223510337589
BaseRepresentation
bin11011101100010…
…01110111110100
3121012010001201110
431312021313310
5433432100040
635014555020
75520342351
oct1566116764
9535101643
10232300020
1110a144497
1265968a70
1339186144
1422bcd628
15155d9980
hexdd89df4

232300020 has 48 divisors (see below), whose sum is σ = 656772480. Its totient is φ = 61343616.

The previous prime is 232299979. The next prime is 232300027. The reversal of 232300020 is 20003232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 232299969 and 232300005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232300027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12615 + ... + 24974.

It is an arithmetic number, because the mean of its divisors is an integer number (13682760).

Almost surely, 2232300020 is an apocalyptic number.

232300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232300020 is an abundant number, since it is smaller than the sum of its proper divisors (424472460).

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

232300020 is a wasteful number, since it uses less digits than its factorization.

232300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37704 (or 37702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 232300020 is about 15241.3916687421. The cubic root of 232300020 is about 614.7281235981.

Adding to 232300020 its reverse (20003232), we get a palindrome (252303252).

The spelling of 232300020 in words is "two hundred thirty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 37589 75178 112767 150356 187945 225534 375890 451068 563835 751780 1127670 2255340 3871667 7743334 11615001 15486668 19358335 23230002 38716670 46460004 58075005 77433340 116150010 232300020