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221370102 = 23219976673
BaseRepresentation
bin11010011000111…
…01011011110110
3120102112202200200
431030131123312
5423132320402
633544421330
75325420612
oct1514353366
9512482620
10221370102
11103a596a8
1262177846
1336b2a235
1421586342
151467b21c
hexd31d6f6

221370102 has 48 divisors (see below), whose sum is σ = 510160560. Its totient is φ = 69175296.

The previous prime is 221370067. The next prime is 221370109. The reversal of 221370102 is 201073122.

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 (221370109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29838 + ... + 36510.

It is an arithmetic number, because the mean of its divisors is an integer number (10628345).

Almost surely, 2221370102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221370102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255080280).

221370102 is an abundant number, since it is smaller than the sum of its proper divisors (288790458).

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

221370102 is a wasteful number, since it uses less digits than its factorization.

221370102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 221370102 is about 14878.5114174772. The cubic root of 221370102 is about 604.9316699917.

The spelling of 221370102 in words is "two hundred twenty-one million, three hundred seventy thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 291 342 582 873 1746 1843 3686 5529 6673 11058 13346 16587 20019 33174 40038 60057 120114 126787 253574 380361 647281 760722 1141083 1294562 1941843 2282166 3883686 5825529 11651058 12298339 24596678 36895017 73790034 110685051 221370102