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227590060096 = 267412172
BaseRepresentation
bin1101001111110101101…
…1001011100001000000
3210202110010211221211001
43103331123023201000
512212101023410341
6252315312501344
722304615410000
oct3237533134100
9722403757731
10227590060096
118857a723763
123813754a854
1318600328219
14b030440000
155dc0711d31
hex34fd6cb840

227590060096 has 105 divisors (see below), whose sum is σ = 527296622189. Its totient is φ = 97458450432.

The previous prime is 227590060073. The next prime is 227590060099. The reversal of 227590060096 is 690060095722.

The square root of 227590060096 is 477064.

It is a perfect power (a square), and thus also a powerful number.

227590060096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76374849600 + 151215210496 = 276360^2 + 388864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (227590060099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 187008480 + ... + 187009696.

Almost surely, 2227590060096 is an apocalyptic number.

227590060096 is the 477064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227590060096

227590060096 is an abundant number, since it is smaller than the sum of its proper divisors (299706562093).

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

227590060096 is an frugal number, since it uses more digits than its factorization.

227590060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 227590060096 in words is "two hundred twenty-seven billion, five hundred ninety million, sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1217 1372 1568 2401 2434 2744 3136 4802 4868 5488 8519 9604 9736 10976 17038 19208 19472 21952 34076 38416 38944 59633 68152 76832 77888 119266 136304 153664 238532 272608 417431 477064 545216 834862 954128 1481089 1669724 1908256 2922017 2962178 3339448 3816512 5844034 5924356 6678896 10367623 11688068 11848712 13357792 20735246 23376136 23697424 26715584 41470492 46752272 47394848 72573361 82940984 93504544 94789696 145146722 165881968 187009088 290293444 331763936 508013527 580586888 663527872 1016027054 1161173776 2032054108 2322347552 3556094689 4064108216 4644695104 7112189378 8128216432 14224378756 16256432864 28448757512 32512865728 56897515024 113795030048 227590060096