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20231214332 = 22741167105527
BaseRepresentation
bin10010110101110111…
…111101010011111100
31221012221121011200112
4102311313331103330
5312413142324312
613143305045152
71314230325110
oct226567752374
957187534615
1020231214332
118641aa184a
123b074867b8
131ba5570854
14d9ccb1740
157d61ddd22
hex4b5dfd4fc

20231214332 has 48 divisors (see below), whose sum is σ = 41697911808. Its totient is φ = 8408311680.

The previous prime is 20231214331. The next prime is 20231214337. The reversal of 20231214332 is 23341213202.

It is a junction number, because it is equal to n+sod(n) for n = 20231214298 and 20231214307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231214331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138953 + ... + 244479.

It is an arithmetic number, because the mean of its divisors is an integer number (868706496).

Almost surely, 220231214332 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 20231214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848955904).

20231214332 is an abundant number, since it is smaller than the sum of its proper divisors (21466697476).

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

20231214332 is a wasteful number, since it uses less digits than its factorization.

20231214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105746 (or 105744 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20231214332 its reverse (23341213202), we get a palindrome (43572427534).

The spelling of 20231214332 in words is "twenty billion, two hundred thirty-one million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 167 287 334 574 668 1148 1169 2338 4676 6847 13694 27388 47929 95858 105527 191716 211054 422108 738689 1477378 2954756 4326607 8653214 17306428 17623009 30286249 35246018 60572498 70492036 121144996 123361063 246722126 493444252 722543369 1445086738 2890173476 5057803583 10115607166 20231214332