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2009214151 = 723120110391
BaseRepresentation
bin111011111000010…
…0010110011000111
312012000200122122221
41313300202303013
513103324323101
6531212233211
7100535016130
oct16760426307
95160618587
102009214151
1194117036a
12480a6b807
13260352319
14150bb6c87
15bb5d2aa1
hex77c22cc7

2009214151 has 16 divisors (see below), whose sum is σ = 2398307328. Its totient is φ = 1645776000.

The previous prime is 2009214133. The next prime is 2009214187. The reversal of 2009214151 is 1514129002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2009214151 - 29 = 2009213639 is a prime.

It is a super-3 number, since 3×20092141513 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009214101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188166 + ... + 198556.

It is an arithmetic number, because the mean of its divisors is an integer number (149894208).

Almost surely, 22009214151 is an apocalyptic number.

2009214151 is a deficient number, since it is larger than the sum of its proper divisors (389093177).

2009214151 is a wasteful number, since it uses less digits than its factorization.

2009214151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11622.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 2009214151 is about 44824.2585103201. The cubic root of 2009214151 is about 1261.8529366096.

It can be divided in two parts, 20092 and 14151, that added together give a palindrome (34243).

The spelling of 2009214151 in words is "two billion, nine million, two hundred fourteen thousand, one hundred fifty-one".

Divisors: 1 7 23 161 1201 8407 10391 27623 72737 193361 238993 1672951 12479591 87357137 287030593 2009214151