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23132200223132 = 227111343472328447
BaseRepresentation
bin1010100001001111000101…
…00100111100000110011100
310000220102020210202221110022
411100213202210330012130
511012444221224120012
6121110441443131312
74605150325442030
oct520474244740634
9100812223687408
1023132200223132
117409346a75070
122717213073b38
13cba484797530
1459d8669181c0
152a1ac56a1472
hex1509e293c19c

23132200223132 has 192 divisors, whose sum is σ = 55630327087104. Its totient is φ = 8123795285760.

The previous prime is 23132200223117. The next prime is 23132200223173.

23132200223132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 813154133 + ... + 813182579.

It is an arithmetic number, because the mean of its divisors is an integer number (289741286912).

Almost surely, 223132200223132 is an apocalyptic number.

23132200223132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132200223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815163543552).

23132200223132 is an abundant number, since it is smaller than the sum of its proper divisors (32498126863972).

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

23132200223132 is a wasteful number, since it uses less digits than its factorization.

23132200223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33248 (or 33246 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 23132200 and 223132, that added together give a palindrome (23355332).

The spelling of 23132200223132 in words is "twenty-three trillion, one hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, one hundred thirty-two".