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164211435 = 3352574733
BaseRepresentation
bin10011100100110…
…10101011101011
3102102222210202000
421302122223223
5314014231220
624143342043
74032526353
oct1162325353
9372883660
10164211435
1184769533
1246bb1923
132803663b
1417b47b63
15e63a390
hex9c9aaeb

164211435 has 32 divisors (see below), whose sum is σ = 293129280. Its totient is φ = 87220224.

The previous prime is 164211409. The next prime is 164211461. The reversal of 164211435 is 534112461.

It is a happy number.

164211435 is a `hidden beast` number, since 1 + 642 + 1 + 14 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (164211409) and next prime (164211461).

It is not a de Polignac number, because 164211435 - 212 = 164207339 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 164211399 and 164211408.

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, 32329 + ... + 37061.

It is an arithmetic number, because the mean of its divisors is an integer number (9160290).

Almost surely, 2164211435 is an apocalyptic number.

164211435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164211435 is a deficient number, since it is larger than the sum of its proper divisors (128917845).

164211435 is a wasteful number, since it uses less digits than its factorization.

164211435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4998 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 164211435 is about 12814.5009657029. The cubic root of 164211435 is about 547.6054966533.

Adding to 164211435 its reverse (534112461), we get a palindrome (698323896).

The spelling of 164211435 in words is "one hundred sixty-four million, two hundred eleven thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 257 771 1285 2313 3855 4733 6939 11565 14199 23665 34695 42597 70995 127791 212985 638955 1216381 3649143 6081905 10947429 18245715 32842287 54737145 164211435