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2185629420 = 2235132802089
BaseRepresentation
bin1000001001000110…
…0000111011101100
312122022122110220210
42002101200323230
513434010120140
61000513342420
7105106354302
oct20221407354
95568573823
102185629420
11a21804807
1250bb67a10
1328aa6c660
1416a3ba272
15cbd2dd80
hex82460eec

2185629420 has 48 divisors (see below), whose sum is σ = 6590515680. Its totient is φ = 538000896.

The previous prime is 2185629373. The next prime is 2185629449. The reversal of 2185629420 is 249265812.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 1400265 + ... + 1401824.

It is an arithmetic number, because the mean of its divisors is an integer number (137302410).

Almost surely, 22185629420 is an apocalyptic number.

2185629420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2185629420 is an abundant number, since it is smaller than the sum of its proper divisors (4404886260).

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

2185629420 is a wasteful number, since it uses less digits than its factorization.

2185629420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802114 (or 2802112 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2185629420 is about 46750.7157164465. The cubic root of 2185629420 is about 1297.7534018237.

The spelling of 2185629420 in words is "two billion, one hundred eighty-five million, six hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2802089 5604178 8406267 11208356 14010445 16812534 28020890 33625068 36427157 42031335 56041780 72854314 84062670 109281471 145708628 168125340 182135785 218562942 364271570 437125884 546407355 728543140 1092814710 2185629420