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221000111352 = 2332198316311941
BaseRepresentation
bin1100110111010010100…
…0100001010011111000
3210010102212200212121100
43031310220201103320
512110102012030402
6245305343211400
721652405644306
oct3156450412370
9703385625540
10221000111352
11857a888a729
12369b85a6b60
1317abcc72877
14a9a7143276
155b36de471c
hex3374a214f8

221000111352 has 192 divisors, whose sum is σ = 641600668800. Its totient is φ = 68519934720.

The previous prime is 221000111351. The next prime is 221000111369. The reversal of 221000111352 is 253111000122.

221000111352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000111351) 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, 18501702 + ... + 18513642.

It is an arithmetic number, because the mean of its divisors is an integer number (3341670150).

Almost surely, 2221000111352 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 221000111352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320800334400).

221000111352 is an abundant number, since it is smaller than the sum of its proper divisors (420600557448).

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

221000111352 is a wasteful number, since it uses less digits than its factorization.

221000111352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218 (or 12211 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 221000111352 its reverse (253111000122), we get a palindrome (474111111474).

The spelling of 221000111352 in words is "two hundred twenty-one billion, one hundred eleven thousand, three hundred fifty-two".