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164199552 = 2731138873
BaseRepresentation
bin10011100100101…
…11110010000000
3102102222012102220
421302113302000
5314013341202
624143211040
74032446616
oct1162276200
9372865386
10164199552
1184760610
1246ba6a80
13280310ca
1417b436b6
15e636abc
hex9c97c80

164199552 has 64 divisors (see below), whose sum is σ = 475817760. Its totient is φ = 49756160.

The previous prime is 164199533. The next prime is 164199559. The reversal of 164199552 is 255991461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1641995522 = 53922985754001408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164199559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15213 + ... + 23660.

Almost surely, 2164199552 is an apocalyptic number.

164199552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164199552 is an abundant number, since it is smaller than the sum of its proper divisors (311618208).

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

164199552 is a wasteful number, since it uses less digits than its factorization.

164199552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38901 (or 38889 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 164199552 is about 12814.0373028956. The cubic root of 164199552 is about 547.5922873558.

The spelling of 164199552 in words is "one hundred sixty-four million, one hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 38873 77746 116619 155492 233238 310984 427603 466476 621968 855206 932952 1243936 1282809 1710412 1865904 2487872 2565618 3420824 3731808 4975744 5131236 6841648 7463616 10262472 13683296 14927232 20524944 27366592 41049888 54733184 82099776 164199552