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232111012 = 22729319221
BaseRepresentation
bin11011101010110…
…11101110100100
3121011202110110011
431311123232210
5433410023022
635010540004
75515624330
oct1565335644
9534673404
10232111012
1110a025491
1265897604
133911b0c3
1422b807c0
151559d977
hexdd5bba4

232111012 has 48 divisors (see below), whose sum is σ = 495774720. Its totient is φ = 92937600.

The previous prime is 232111001. The next prime is 232111057. The reversal of 232111012 is 210111232.

It is a junction number, because it is equal to n+sod(n) for n = 232110983 and 232111001.

It is an unprimeable number.

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, 20562 + ... + 29782.

It is an arithmetic number, because the mean of its divisors is an integer number (10328640).

Almost surely, 2232111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247887360).

232111012 is an abundant number, since it is smaller than the sum of its proper divisors (263663708).

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

232111012 is a wasteful number, since it uses less digits than its factorization.

232111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 232111012 is about 15235.1899233321. The cubic root of 232111012 is about 614.5613564160.

Adding to 232111012 its reverse (210111232), we get a palindrome (442222244).

The spelling of 232111012 in words is "two hundred thirty-two million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 1798 3596 6293 9221 12586 18442 25172 36884 64547 129094 258188 267409 285851 534818 571702 1069636 1143404 1871863 2000957 3743726 4001914 7487452 8003828 8289679 16579358 33158716 58027753 116055506 232111012