Search a number
-
+
220000210120 = 2356178914109
BaseRepresentation
bin1100110011100100001…
…0001100110011001000
3210000212012012121222101
43030321002030303020
512101030023210440
6245022224003144
721615544634335
oct3147102146310
9700765177871
10220000210120
1185335424079
12367797604b4
1317990a6b632
14a91041d98c
155ac923269a
hex333908ccc8

220000210120 has 32 divisors (see below), whose sum is σ = 495802798200. Its totient is φ = 87857448448.

The previous prime is 220000210117. The next prime is 220000210123. The reversal of 220000210120 is 21012000022.

It is an interprime number because it is at equal distance from previous prime (220000210117) and next prime (220000210123).

It can be written as a sum of positive squares in 4 ways, for example, as 104319956196 + 115680253924 = 322986^2 + 340118^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220000210097 and 220000210106.

It is not an unprimeable number, because it can be changed into a prime (220000210123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4432375 + ... + 4481734.

Almost surely, 2220000210120 is an apocalyptic number.

220000210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000210120 is an abundant number, since it is smaller than the sum of its proper divisors (275802588080).

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

220000210120 is a wasteful number, since it uses less digits than its factorization.

220000210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914737 (or 8914733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220000210120 its reverse (21012000022), we get a palindrome (241012210142).

It can be divided in two parts, 2200002 and 10120, that added together give a palindrome (2210122).

The spelling of 220000210120 in words is "two hundred twenty billion, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 617 1234 2468 3085 4936 6170 12340 24680 8914109 17828218 35656436 44570545 71312872 89141090 178282180 356564360 5500005253 11000010506 22000021012 27500026265 44000042024 55000052530 110000105060 220000210120