Search a number
-
+
222011100320 = 2553134433129
BaseRepresentation
bin1100111011000011100…
…1001000110010100000
3210020001100001102202012
43032300321020302200
512114134320202240
6245553540212052
722016433134102
oct3166071106240
9706040042665
10222011100320
11861775296a9
123703b09a028
1317c215597a9
14aa61511572
155b95a46b65
hex33b0e48ca0

222011100320 has 48 divisors (see below), whose sum is σ = 526177065960. Its totient is φ = 88520699904.

The previous prime is 222011100293. The next prime is 222011100329. The reversal of 222011100320 is 23001110222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64741749136 + 157269351184 = 254444^2 + 396572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222011100295 and 222011100304.

It is not an unprimeable number, because it can be changed into a prime (222011100329) 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, 2166485 + ... + 2266644.

Almost surely, 2222011100320 is an apocalyptic number.

222011100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222011100320 is an abundant number, since it is smaller than the sum of its proper divisors (304165965640).

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

222011100320 is a wasteful number, since it uses less digits than its factorization.

222011100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433457 (or 4433449 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 222011100320 its reverse (23001110222), we get a palindrome (245012210542).

The spelling of 222011100320 in words is "two hundred twenty-two billion, eleven million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6260 10016 12520 25040 50080 4433129 8866258 17732516 22165645 35465032 44331290 70930064 88662580 141860128 177325160 354650320 709300640 1387569377 2775138754 5550277508 6937846885 11100555016 13875693770 22201110032 27751387540 44402220064 55502775080 111005550160 222011100320