Search a number
-
+
220002222 = 231123373917
BaseRepresentation
bin11010001110011…
…11011110101110
3120022222021022110
431013033132232
5422310032342
633455224450
75310662616
oct1507173656
9508867273
10220002222
11103204a20
1261818126
133676b73b
142130ba46
15144aac9c
hexd1cf7ae

220002222 has 64 divisors (see below), whose sum is σ = 514543104. Its totient is φ = 62029440.

The previous prime is 220002203. The next prime is 220002283. The reversal of 220002222 is 222200022.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220002198 and 220002207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54208 + ... + 58124.

It is an arithmetic number, because the mean of its divisors is an integer number (8039736).

Almost surely, 2220002222 is an apocalyptic number.

220002222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257271552).

220002222 is an abundant number, since it is smaller than the sum of its proper divisors (294540882).

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

220002222 is a wasteful number, since it uses less digits than its factorization.

220002222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220002222 is about 14832.4718776069. The cubic root of 220002222 is about 603.6831060659.

Adding to 220002222 its reverse (222200022), we get a palindrome (442202244).

It can be divided in two parts, 2200022 and 22, that multiplied together give a palindrome (48400484).

The spelling of 220002222 in words is "two hundred twenty million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 759 814 851 1221 1518 1702 2442 2553 3917 5106 7834 9361 11751 18722 23502 28083 43087 56166 86174 90091 129261 144929 180182 258522 270273 289858 434787 540546 869574 991001 1594219 1982002 2973003 3188438 3333367 4782657 5946006 6666734 9565314 10000101 20000202 36667037 73334074 110001111 220002222