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221102140 = 225710914489
BaseRepresentation
bin11010010110111…
…00000000111100
3120102001011010011
431023130000330
5423100232030
633534553004
75323223440
oct1513340074
9512034104
10221102140
11103896346
1262068764
1336a6528c
1421516820
1514626b2a
hexd2dc03c

221102140 has 48 divisors (see below), whose sum is σ = 535550400. Its totient is φ = 75105792.

The previous prime is 221102117. The next prime is 221102191. The reversal of 221102140 is 41201122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221102140.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8016 + ... + 22504.

It is an arithmetic number, because the mean of its divisors is an integer number (11157300).

Almost surely, 2221102140 is an apocalyptic number.

221102140 is a gapful number since it is divisible by the number (20) 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 221102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267775200).

221102140 is an abundant number, since it is smaller than the sum of its proper divisors (314448260).

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

221102140 is a wasteful number, since it uses less digits than its factorization.

221102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14614 (or 14612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 221102140 is about 14869.5036904397. The cubic root of 221102140 is about 604.6874874395.

Adding to 221102140 its reverse (41201122), we get a palindrome (262303262).

The spelling of 221102140 in words is "two hundred twenty-one million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 7630 14489 15260 28978 57956 72445 101423 144890 202846 289780 405692 507115 1014230 1579301 2028460 3158602 6317204 7896505 11055107 15793010 22110214 31586020 44220428 55275535 110551070 221102140