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166230272 = 2813199251
BaseRepresentation
bin10011110100001…
…11100100000000
3102120210101001202
421322013210000
5320023332042
624254520332
74055635235
oct1172074400
9376711052
10166230272
118591829a
12478060a8
1328592510
141811178c
15e8d8632
hex9e87900

166230272 has 72 divisors (see below), whose sum is σ = 360561600. Its totient is φ = 76032000.

The previous prime is 166230257. The next prime is 166230293. The reversal of 166230272 is 272032661.

It is a super-3 number, since 3×1662302723 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662147 + ... + 662397.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2166230272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180280800).

166230272 is an abundant number, since it is smaller than the sum of its proper divisors (194331328).

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

166230272 is a wasteful number, since it uses less digits than its factorization.

166230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 166230272 is about 12893.0319165044. The cubic root of 166230272 is about 549.8404738445.

The spelling of 166230272 in words is "one hundred sixty-six million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 199 208 251 256 398 416 502 796 832 1004 1592 1664 2008 2587 3184 3263 3328 4016 5174 6368 6526 8032 10348 12736 13052 16064 20696 25472 26104 32128 41392 49949 50944 52208 64256 82784 99898 104416 165568 199796 208832 331136 399592 417664 649337 662272 799184 835328 1298674 1598368 2597348 3196736 5194696 6393472 10389392 12786944 20778784 41557568 83115136 166230272