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221334102 = 232117315313
BaseRepresentation
bin11010011000101…
…00101001010110
3120102110221022100
431030110221112
5423130142402
633543542530
75325210633
oct1514245126
9512427270
10221334102
11103a34650
126215aa46
1336b16a32
142157718a
151467071c
hexd314a56

221334102 has 48 divisors (see below), whose sum is σ = 530354448. Its totient is φ = 66147840.

The previous prime is 221334023. The next prime is 221334107. The reversal of 221334102 is 201433122.

221334102 is a `hidden beast` number, since 221 + 33 + 410 + 2 = 666.

221334102 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 (221334107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6798 + ... + 22110.

It is an arithmetic number, because the mean of its divisors is an integer number (11049051).

Almost surely, 2221334102 is an apocalyptic number.

221334102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221334102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265177224).

221334102 is an abundant number, since it is smaller than the sum of its proper divisors (309020346).

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

221334102 is a wasteful number, since it uses less digits than its factorization.

221334102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221334102 is about 14877.3015698412. The cubic root of 221334102 is about 604.8988761613.

Adding to 221334102 its reverse (201433122), we get a palindrome (422767224).

It can be divided in two parts, 2213 and 34102, that added together give a triangular number (36315 = T269).

The spelling of 221334102 in words is "two hundred twenty-one million, three hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 14454 15313 30626 45939 91878 137817 168443 275634 336886 505329 1010658 1117849 1515987 2235698 3031974 3353547 6707094 10060641 12296339 20121282 24592678 36889017 73778034 110667051 221334102