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2202124122 = 2321131358769
BaseRepresentation
bin1000001101000001…
…1011111101011010
312200110200111101200
42003100123331122
514002220432442
61002303055030
7105366513642
oct20320337532
95613614350
102202124122
11a300504a0
125155a1476
132912c6433
1416c671522
15cd4db34c
hex8341bf5a

2202124122 has 48 divisors (see below), whose sum is σ = 5372939520. Its totient is φ = 645782400.

The previous prime is 2202124081. The next prime is 2202124129. The reversal of 2202124122 is 2214212022.

2202124122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2202124095 and 2202124104.

It is not an unprimeable number, because it can be changed into a prime (2202124129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173247 + ... + 185522.

It is an arithmetic number, because the mean of its divisors is an integer number (111936240).

Almost surely, 22202124122 is an apocalyptic number.

2202124122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2202124122 is an abundant number, since it is smaller than the sum of its proper divisors (3170815398).

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

2202124122 is a wasteful number, since it uses less digits than its factorization.

2202124122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358819 (or 358816 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2202124122 is about 46926.7953519096. The cubic root of 2202124122 is about 1301.0098902258.

Adding to 2202124122 its reverse (2214212022), we get a palindrome (4416336144).

The spelling of 2202124122 in words is "two billion, two hundred two million, one hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 358769 717538 1076307 2152614 3228921 3946459 6457842 7892918 11121839 11839377 22243678 23678754 33365517 35518131 66731034 71036262 100096551 122340229 200193102 244680458 367020687 734041374 1101062061 2202124122