Search a number
-
+
22202002001000 = 235326778293613
BaseRepresentation
bin1010000110001010011100…
…11100010100110001101000
32220121111020200201020012102
411003011032130110301220
510402224200003013000
6115115243043032532
74451020210141403
oct503051634246150
986544220636172
1022202002001000
11708a8a8362aa8
1225a6a9166b748
13c50841862343
1456a822a48d3a
152877d1e433d5
hex14314e714c68

22202002001000 has 64 divisors (see below), whose sum is σ = 51972098003280. Its totient is φ = 8877482284800.

The previous prime is 22202002000993. The next prime is 22202002001029. The reversal of 22202002001000 is 10020020222.

It can be written as a sum of positive squares in 8 ways, for example, as 4652588604196 + 17549413396804 = 2156986^2 + 4189202^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469807 + ... + 6823806.

Almost surely, 222202002001000 is an apocalyptic number.

22202002001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202002001000 is an abundant number, since it is smaller than the sum of its proper divisors (29770096002280).

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

22202002001000 is a wasteful number, since it uses less digits than its factorization.

22202002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296311 (or 8296297 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22202002001000 its reverse (10020020222), we get a palindrome (22212022021222).

The spelling of 22202002001000 in words is "twenty-two trillion, two hundred two billion, two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2677 5354 10708 13385 21416 26770 53540 66925 107080 133850 267700 334625 535400 669250 1338500 2677000 8293613 16587226 33174452 41468065 66348904 82936130 165872260 207340325 331744520 414680650 829361300 1036701625 1658722600 2073403250 4146806500 8293613000 22202002001 44404004002 88808008004 111010010005 177616016008 222020020010 444040040020 555050050025 888080080040 1110100100050 2220200200100 2775250250125 4440400400200 5550500500250 11101001000500 22202002001000