Search a number
-
+
220201002 = 23272298609
BaseRepresentation
bin11010010000000…
…00000000101010
3120100100100222200
431020000000222
5422332413002
633503401030
75312451300
oct1510000052
9510310880
10220201002
111033302aa
12618b3176
133680b068
1421360270
15144e9b1c
hexd20002a

220201002 has 72 divisors (see below), whose sum is σ = 574200900. Its totient is φ = 60738048.

The previous prime is 220200997. The next prime is 220201019. The reversal of 220201002 is 200102022.

It can be written as a sum of positive squares in 2 ways, for example, as 216707841 + 3493161 = 14721^2 + 1869^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21274 + ... + 29882.

Almost surely, 2220201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287100450).

220201002 is an abundant number, since it is smaller than the sum of its proper divisors (353999898).

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

220201002 is a wasteful number, since it uses less digits than its factorization.

220201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660 (or 8650 counting only the distinct ones).

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

The square root of 220201002 is about 14839.1712032714. The cubic root of 220201002 is about 603.8648678732.

Adding to 220201002 its reverse (200102022), we get a palindrome (420303024).

The spelling of 220201002 in words is "two hundred twenty million, two hundred one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4263 8526 8609 12789 17218 25578 25827 51654 60263 77481 120526 154962 180789 249661 361578 421841 499322 542367 748983 843682 1084734 1265523 1497966 1747627 2246949 2531046 3495254 3796569 4493898 5242881 7593138 10485762 12233389 15728643 24466778 31457286 36700167 73400334 110100501 220201002