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230211112032 = 2532112329108947
BaseRepresentation
bin1101011001100110100…
…1101100110001100000
3211000012210211012010200
43112121221230301200
512232433021041112
6253431343025200
722426563110556
oct3263151546140
9730183735120
10230211112032
11896a5197890
123874929b200
131892a35c325
14b1dc5a1bd6
155ec589ecdc
hex3599a6cc60

230211112032 has 288 divisors, whose sum is σ = 770933479680. Its totient is φ = 64426306560.

The previous prime is 230211112007. The next prime is 230211112037.

230211112032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2302111120322 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 230211111996 and 230211112014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230211112037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058583 + ... + 2167529.

It is an arithmetic number, because the mean of its divisors is an integer number (2676852360).

Almost surely, 2230211112032 is an apocalyptic number.

230211112032 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 230211112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385466739840).

230211112032 is an abundant number, since it is smaller than the sum of its proper divisors (540722367648).

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

230211112032 is a wasteful number, since it uses less digits than its factorization.

230211112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109026 (or 109015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 230211 and 112032, that added together give a palindrome (342243).

The spelling of 230211112032 in words is "two hundred thirty billion, two hundred eleven million, one hundred twelve thousand, thirty-two".