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164214621 = 3437157349
BaseRepresentation
bin10011100100110…
…11011101011101
3102102222222010000
421302123131131
5314014331441
624143404513
74032541554
oct1162333535
9372888100
10164214621
118477096a
1246bb3739
1328037c1c
1417b48d9b
15e63b2b6
hex9c9b75d

164214621 has 40 divisors (see below), whose sum is σ = 254269400. Its totient is φ = 105535872.

The previous prime is 164214613. The next prime is 164214643. The reversal of 164214621 is 126412461.

164214621 is a `hidden beast` number, since 1 + 642 + 14 + 6 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57836025 + 106378596 = 7605^2 + 10314^2 .

It is not a de Polignac number, because 164214621 - 23 = 164214613 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164214671) 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 39 ways as a sum of consecutive naturals, for example, 470355 + ... + 470703.

It is an arithmetic number, because the mean of its divisors is an integer number (6356735).

Almost surely, 2164214621 is an apocalyptic number.

It is an amenable number.

164214621 is a deficient number, since it is larger than the sum of its proper divisors (90054779).

164214621 is a wasteful number, since it uses less digits than its factorization.

164214621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 164214621 is about 12814.6252773930. The cubic root of 164214621 is about 547.6090381440.

The spelling of 164214621 in words is "one hundred sixty-four million, two hundred fourteen thousand, six hundred twenty-one".

Divisors: 1 3 9 27 37 81 111 157 333 349 471 999 1047 1413 2997 3141 4239 5809 9423 12717 12913 17427 28269 38739 52281 54793 116217 156843 164379 348651 470529 493137 1045953 1479411 2027341 4438233 6082023 18246069 54738207 164214621