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164216415 = 35112934319
BaseRepresentation
bin10011100100110…
…11111001011111
3102110000001120110
421302123321133
5314014411130
624143421103
74032550026
oct1162337137
9373001513
10164216415
1184772250
1246bb4793
132803899c
1417b498bd
15e63bab0
hex9c9be5f

164216415 has 32 divisors (see below), whose sum is σ = 296524800. Its totient is φ = 76872320.

The previous prime is 164216399. The next prime is 164216509. The reversal of 164216415 is 514612461.

It is not a de Polignac number, because 164216415 - 24 = 164216399 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12375 + ... + 21944.

It is an arithmetic number, because the mean of its divisors is an integer number (9266400).

Almost surely, 2164216415 is an apocalyptic number.

164216415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164216415 is a deficient number, since it is larger than the sum of its proper divisors (132308385).

164216415 is a wasteful number, since it uses less digits than its factorization.

164216415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34367.

The product of its digits is 5760, while the sum is 30.

The square root of 164216415 is about 12814.6952753470. The cubic root of 164216415 is about 547.6110322966.

Adding to 164216415 its reverse (514612461), we get a palindrome (678828876).

The spelling of 164216415 in words is "one hundred sixty-four million, two hundred sixteen thousand, four hundred fifteen".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1595 4785 34319 102957 171595 377509 514785 995251 1132527 1887545 2985753 4976255 5662635 10947761 14928765 32843283 54738805 164216415