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164219472 = 24321140413
BaseRepresentation
bin10011100100111…
…00101001010000
3102110000012202200
421302130221100
5314020010342
624143443200
74032561654
oct1162345120
9373005680
10164219472
118477457a
1246bb6500
132803a1b1
1417b4aa64
15e63c94c
hex9c9ca50

164219472 has 30 divisors (see below), whose sum is σ = 459586842. Its totient is φ = 54739776.

The previous prime is 164219467. The next prime is 164219477. The reversal of 164219472 is 274912461.

It is a happy number.

164219472 is a `hidden beast` number, since 1 + 642 + 1 + 9 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (164219467) and next prime (164219477).

It can be written as a sum of positive squares in only one way, i.e., 147768336 + 16451136 = 12156^2 + 4056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164219477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570063 + ... + 570350.

Almost surely, 2164219472 is an apocalyptic number.

164219472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164219472 is an abundant number, since it is smaller than the sum of its proper divisors (295367370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164219472 is a wasteful number, since it uses less digits than its factorization.

164219472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140427 (or 1140418 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 164219472 is about 12814.8145519161. The cubic root of 164219472 is about 547.6144303259.

The spelling of 164219472 in words is "one hundred sixty-four million, two hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1140413 2280826 3421239 4561652 6842478 9123304 10263717 13684956 18246608 20527434 27369912 41054868 54739824 82109736 164219472