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230171654272 = 2771367187921
BaseRepresentation
bin1101011001011101001…
…1001011100010000000
3211000010001120112021011
43112113103023202000
512232342420414042
6253423413210304
722425603531430
oct3262723134200
9730101515234
10230171654272
118968499766a
1238738030994
1318922125541
14b1d72502c0
155ec21a8a17
hex35974cb880

230171654272 has 64 divisors (see below), whose sum is σ = 524437683840. Its totient is φ = 98572308480.

The previous prime is 230171654213. The next prime is 230171654333. The reversal of 230171654272 is 272456171032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130872 + ... + 1318792.

It is an arithmetic number, because the mean of its divisors is an integer number (8194338810).

Almost surely, 2230171654272 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 230171654272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262218841920).

230171654272 is an abundant number, since it is smaller than the sum of its proper divisors (294266029568).

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

230171654272 is a wasteful number, since it uses less digits than its factorization.

230171654272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189309 (or 189297 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 230171654272 in words is "two hundred thirty billion, one hundred seventy-one million, six hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1367 2734 5468 9569 10936 19138 21872 38276 43744 76552 87488 153104 174976 187921 306208 375842 612416 751684 1224832 1315447 1503368 2630894 3006736 5261788 6013472 10523576 12026944 21047152 24053888 42094304 84188608 168377216 256888007 513776014 1027552028 1798216049 2055104056 3596432098 4110208112 7192864196 8220416224 14385728392 16440832448 28771456784 32881664896 57542913568 115085827136 230171654272