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220002102 = 23319316917
BaseRepresentation
bin11010001110011…
…11011100110110
3120022222021011000
431013033130312
5422310031402
633455224130
75310662355
oct1507173466
9508867130
10220002102
11103204921
1261818046
133676b678
142130b99c
15144aac1c
hexd1cf736

220002102 has 64 divisors (see below), whose sum is σ = 531302400. Its totient is φ = 67223520.

The previous prime is 220002089. The next prime is 220002109. The reversal of 220002102 is 201200022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002109) 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 31 ways as a sum of consecutive naturals, for example, 28348 + ... + 35264.

It is an arithmetic number, because the mean of its divisors is an integer number (8301600).

Almost surely, 2220002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265651200).

220002102 is an abundant number, since it is smaller than the sum of its proper divisors (311300298).

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

220002102 is a wasteful number, since it uses less digits than its factorization.

220002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220002102 is about 14832.4678324276. The cubic root of 220002102 is about 603.6829963064.

Adding to 220002102 its reverse (201200022), we get a palindrome (421202124).

The spelling of 220002102 in words is "two hundred twenty million, two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 3534 5301 6917 10602 13834 15903 20751 31806 41502 62253 124506 131423 186759 214427 262846 373518 394269 428854 643281 788538 1182807 1286562 1929843 2365614 3548421 3859686 4074113 5789529 7096842 8148226 11579058 12222339 24444678 36667017 73334034 110001051 220002102