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2202101022 = 2311229104593
BaseRepresentation
bin1000001101000001…
…0110010100011110
312200110122022201010
42003100112110132
514002214213042
61002302400050
7105366356412
oct20320262436
95613568633
102202101022
11a30035100
12515590026
132912b8a74
1416c666d42
15cd4d459c
hex8341651e

2202101022 has 48 divisors (see below), whose sum is σ = 5007960720. Its totient is φ = 644286720.

The previous prime is 2202101017. The next prime is 2202101039. The reversal of 2202101022 is 2201012022.

It is a super-2 number, since 2×22021010222 = 9698497822186888968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202100989 and 2202101007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31243 + ... + 73350.

It is an arithmetic number, because the mean of its divisors is an integer number (104332515).

Almost surely, 22202101022 is an apocalyptic number.

2202101022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2202101022 is an abundant number, since it is smaller than the sum of its proper divisors (2805859698).

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

2202101022 is a wasteful number, since it uses less digits than its factorization.

2202101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104649 (or 104638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2202101022 is about 46926.5492232276. The cubic root of 2202101022 is about 1301.0053410675.

Adding to 2202101022 its reverse (2201012022), we get a palindrome (4403113044).

The spelling of 2202101022 in words is "two billion, two hundred two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 7018 10527 21054 104593 209186 313779 627558 1150523 2301046 3033197 3451569 6066394 6903138 9099591 12655753 18199182 25311506 33365167 37967259 66730334 75934518 100095501 200191002 367016837 734033674 1101050511 2202101022