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213032000232 = 233214919857569
BaseRepresentation
bin1100011001100110110…
…0100101101011101000
3202100212120021220000200
43012121230211223220
511442242143001412
6241510543032200
721251063060532
oct3063154455350
9670776256020
10213032000232
118238a012927
1235353b9b660
131712021640c
14a44cbba852
15581c5e79dc
hex3199b25ae8

213032000232 has 48 divisors (see below), whose sum is σ = 580833922500. Its totient is φ = 70534081536.

The previous prime is 213032000213. The next prime is 213032000239. The reversal of 213032000232 is 232000230312.

It is a happy number.

213032000232 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 176899312836 + 36132687396 = 420594^2 + 190086^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213032000239) by changing a digit.

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, 9918057 + ... + 9939512.

Almost surely, 2213032000232 is an apocalyptic number.

It is an amenable number.

213032000232 is an abundant number, since it is smaller than the sum of its proper divisors (367801922268).

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

213032000232 is a wasteful number, since it uses less digits than its factorization.

213032000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19857730 (or 19857723 counting only the distinct ones).

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

Adding to 213032000232 its reverse (232000230312), we get a palindrome (445032230544).

The spelling of 213032000232 in words is "two hundred thirteen billion, thirty-two million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728 19857569 39715138 59572707 79430276 119145414 158860552 178718121 238290828 357436242 476581656 714872484 1429744968 2958777781 5917555562 8876333343 11835111124 17752666686 23670222248 26629000029 35505333372 53258000058 71010666744 106516000116 213032000232