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232228573801 = 7243216012
BaseRepresentation
bin1101100001000111100…
…1101101001001101001
3211012102102000212101221
43120101321231021221
512301101003330201
6254403452142041
722530561210400
oct3302171551151
9735372025357
10232228573801
118a53aa80764
1239010a67921
1318b8c30b6a3
14b3504c4637
156092a614a1
hex3611e6d269

232228573801 has 27 divisors (see below), whose sum is σ = 276744808503. Its totient is φ = 194302483200.

The previous prime is 232228573757. The next prime is 232228573849. The reversal of 232228573801 is 108375822232.

The square root of 232228573801 is 481901.

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

232228573801 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., 231648727401 + 579846400 = 481299^2 + 24080^2 .

It is not a de Polignac number, because 232228573801 - 215 = 232228541033 is a prime.

It is a super-2 number, since 2×2322285738012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232228573501) 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 26 ways as a sum of consecutive naturals, for example, 145051401 + ... + 145053001.

Almost surely, 2232228573801 is an apocalyptic number.

232228573801 is the 481901-st square number.

232228573801 is the 240951-st centered octagonal number.

It is an amenable number.

232228573801 is a deficient number, since it is larger than the sum of its proper divisors (44516234702).

232228573801 is an frugal number, since it uses more digits than its factorization.

232228573801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 232228573801 in words is "two hundred thirty-two billion, two hundred twenty-eight million, five hundred seventy-three thousand, eight hundred one".

Divisors: 1 7 43 49 301 1601 1849 2107 11207 12943 68843 78449 90601 481901 2563201 2960249 3373307 17942407 20721743 110217643 125596849 145052201 771523501 4739358649 5400664507 33175510543 232228573801