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2242117908 = 223431322109
BaseRepresentation
bin1000010110100100…
…0000000100010100
312210020221101120000
42011221000010110
514042440233113
61010252211300
7106363454622
oct20551000424
95706841500
102242117908
11a50687408
12526a69b30
1329968a1b4
14173ac2512
15d1c8b373
hex85a40114

2242117908 has 60 divisors (see below), whose sum is σ = 5880331380. Its totient is φ = 744951168.

The previous prime is 2242117907. The next prime is 2242117909. The reversal of 2242117908 is 8097112422.

It is an interprime number because it is at equal distance from previous prime (2242117907) and next prime (2242117909).

It can be written as a sum of positive squares in 2 ways, for example, as 103795344 + 2138322564 = 10188^2 + 46242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242117907) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90358 + ... + 112466.

It is an arithmetic number, because the mean of its divisors is an integer number (98005523).

Almost surely, 22242117908 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 2242117908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940165690).

2242117908 is an abundant number, since it is smaller than the sum of its proper divisors (3638213472).

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

2242117908 is a wasteful number, since it uses less digits than its factorization.

2242117908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22438 (or 22427 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2242117908 is about 47351.0074655228. The cubic root of 2242117908 is about 1308.8387642688.

The spelling of 2242117908 in words is "two billion, two hundred forty-two million, one hundred seventeen thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 313 324 626 939 1252 1878 2817 3756 5634 8451 11268 16902 22109 25353 33804 44218 50706 66327 88436 101412 132654 198981 265308 397962 596943 795924 1193886 1790829 2387772 3581658 6920117 7163316 13840234 20760351 27680468 41520702 62281053 83041404 124562106 186843159 249124212 373686318 560529477 747372636 1121058954 2242117908