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72230803227 = 32112375933023
BaseRepresentation
bin100001101000101001…
…0101001011100011011
320220102212222222121100
41003101102221130123
52140412041200402
653103220442443
75134642461102
oct1032122513433
9226385888540
1072230803227
11286a6450600
1211bb9b49423
136a7167276b
1436d2dd1039
151d2b3b471c
hex10d14a971b

72230803227 has 72 divisors (see below), whose sum is σ = 118017611712. Its totient is φ = 42507210240.

The previous prime is 72230803223. The next prime is 72230803273.

72230803227 is a `hidden beast` number, since 7 + 22 + 308 + 0 + 322 + 7 = 666.

72230803227 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72230803227 - 22 = 72230803223 is a prime.

It is a super-2 number, since 2×722308032272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72230803191 and 72230803200.

It is not an unprimeable number, because it can be changed into a prime (72230803223) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 23892238 + ... + 23895260.

It is an arithmetic number, because the mean of its divisors is an integer number (1639133496).

Almost surely, 272230803227 is an apocalyptic number.

72230803227 is a deficient number, since it is larger than the sum of its proper divisors (45786808485).

72230803227 is a wasteful number, since it uses less digits than its factorization.

72230803227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 72230803227 in words is "seventy-two billion, two hundred thirty million, eight hundred three thousand, two hundred twenty-seven".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 593 1089 1221 1779 3023 3663 4477 5337 6523 9069 13431 19569 21941 27207 33253 40293 58707 65823 71753 99759 111851 197469 215259 241351 299277 335553 365783 645777 724053 1006659 1097349 1230361 1792639 2172159 2654861 3292047 3691083 5377917 7964583 11073249 13533971 16133751 19719029 23893749 40601913 59157087 66327643 121805739 177471261 198982929 216909319 596948787 650727957 729604073 1952183871 2188812219 6566436657 8025644803 24076934409 72230803227