Search a number
-
+
164430253 = 1328614421
BaseRepresentation
bin10011100110100…
…00000110101101
3102110101220220101
421303100012231
5314043232003
624152151101
74034430331
oct1163200655
9373356811
10164430253
11848a8979
1247098491
13280b2110
1417ba37c1
15e68011d
hex9cd01ad

164430253 has 8 divisors (see below), whose sum is σ = 177180696. Its totient is φ = 151694400.

The previous prime is 164430223. The next prime is 164430263. The reversal of 164430253 is 352034461.

It can be written as a sum of positive squares in 4 ways, for example, as 25826724 + 138603529 = 5082^2 + 11773^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164430253 - 225 = 130875821 is a prime.

It is a super-3 number, since 3×1644302533 (a number of 26 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 (164430223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34983 + ... + 39403.

It is an arithmetic number, because the mean of its divisors is an integer number (22147587).

Almost surely, 2164430253 is an apocalyptic number.

164430253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164430253 is a deficient number, since it is larger than the sum of its proper divisors (12750443).

164430253 is a wasteful number, since it uses less digits than its factorization.

164430253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 164430253 is about 12823.0360289598. The cubic root of 164430253 is about 547.8486237630.

The spelling of 164430253 in words is "one hundred sixty-four million, four hundred thirty thousand, two hundred fifty-three".

Divisors: 1 13 2861 4421 37193 57473 12648481 164430253