Search a number
-
+
2202220404 = 2232432415903
BaseRepresentation
bin1000001101000011…
…0011011101110100
312200110212101110200
42003100303131310
514002232023104
61002305120500
7105400364436
oct20320633564
95613771420
102202220404
11a3010686a
12515629130
1329132b1c7
1416c698656
15cd509b39
hex83433774

2202220404 has 72 divisors (see below), whose sum is σ = 5720787072. Its totient is φ = 713905920.

The previous prime is 2202220381. The next prime is 2202220411. The reversal of 2202220404 is 4040222022.

2202220404 is a `hidden beast` number, since 220 + 22 + 20 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370117 + ... + 376019.

It is an arithmetic number, because the mean of its divisors is an integer number (79455376).

Almost surely, 22202220404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860393536).

2202220404 is an abundant number, since it is smaller than the sum of its proper divisors (3518566668).

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

2202220404 is a wasteful number, since it uses less digits than its factorization.

2202220404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2202220404 is about 46927.8212151385. The cubic root of 2202220404 is about 1301.0288510112.

Adding to 2202220404 its reverse (4040222022), we get a palindrome (6242442426).

The spelling of 2202220404 in words is "two billion, two hundred two million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 241 258 387 482 516 723 774 964 1446 1548 2169 2892 4338 5903 8676 10363 11806 17709 20726 23612 31089 35418 41452 53127 62178 70836 93267 106254 124356 186534 212508 253829 373068 507658 761487 1015316 1422623 1522974 2284461 2845246 3045948 4267869 4568922 5690492 8535738 9137844 12803607 17071476 25607214 51214428 61172789 122345578 183518367 244691156 367036734 550555101 734073468 1101110202 2202220404