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2190242106 = 23513346667
BaseRepresentation
bin1000001010001100…
…0111000100111010
312122122022211100000
42002203013010322
513441200221411
61001200253430
7105163515333
oct20243070472
95578284300
102190242106
11a24375348
12511611276
1328b9c6060
1416ac5b28a
15cc440956
hex828c713a

2190242106 has 48 divisors (see below), whose sum is σ = 5299860384. Its totient is φ = 673918704.

The previous prime is 2190242083. The next prime is 2190242113. The reversal of 2190242106 is 6012420912.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2190242106.

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, 167016 + ... + 179651.

It is an arithmetic number, because the mean of its divisors is an integer number (110413758).

Almost surely, 22190242106 is an apocalyptic number.

2190242106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2190242106 is an abundant number, since it is smaller than the sum of its proper divisors (3109618278).

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

2190242106 is a wasteful number, since it uses less digits than its factorization.

2190242106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346697 (or 346685 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2190242106 is about 46800.0224999946. The cubic root of 2190242106 is about 1298.6657130416.

The spelling of 2190242106 in words is "two billion, one hundred ninety million, two hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 346667 693334 1040001 2080002 3120003 4506671 6240006 9013342 9360009 13520013 18720018 27040026 28080027 40560039 56160054 81120078 84240081 121680117 168480162 243360234 365040351 730080702 1095121053 2190242106