Search a number
-
+
3002223231 = 3371929127227
BaseRepresentation
bin1011001011110010…
…0100101001111111
321202020012202001000
42302330210221333
522122032120411
61213524021343
7134253322260
oct26274445177
97666182030
103002223231
111300749827
126b9531853
1338acb2467
14206a24967
15128882956
hexb2f24a7f

3002223231 has 128 divisors (see below), whose sum is σ = 5603328000. Its totient is φ = 1550005632.

The previous prime is 3002223221. The next prime is 3002223317. The reversal of 3002223231 is 1323222003.

It is a happy number.

It is not a de Polignac number, because 3002223231 - 214 = 3002206847 is a prime.

It is a super-2 number, since 2×30022232312 = 18026688657512158722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002223221) 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 127 ways as a sum of consecutive naturals, for example, 13225540 + ... + 13225766.

It is an arithmetic number, because the mean of its divisors is an integer number (43776000).

Almost surely, 23002223231 is an apocalyptic number.

3002223231 is a deficient number, since it is larger than the sum of its proper divisors (2601104769).

3002223231 is a wasteful number, since it uses less digits than its factorization.

3002223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3002223231 is about 54792.5472213147. The cubic root of 3002223231 is about 1442.6057549967.

Adding to 3002223231 its reverse (1323222003), we get a palindrome (4325445234).

The spelling of 3002223231 in words is "three billion, two million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 29 57 63 87 127 133 171 189 203 227 261 381 399 513 551 609 681 783 889 1143 1197 1589 1653 1827 2043 2413 2667 3429 3591 3683 3857 4313 4767 4959 5481 6129 6583 7239 8001 11049 11571 12939 14301 14877 16891 19749 21717 24003 25781 28829 30191 33147 34713 38817 42903 46081 50673 59247 65151 69977 77343 86487 90573 99441 104139 116451 125077 138243 152019 177741 201803 209931 232029 259461 271719 375231 414729 456057 489839 547751 605409 629793 696087 778383 815157 836041 875539 1125693 1244187 1469517 1643253 1816227 1889379 2508123 2626617 3377079 3834257 4408551 4929759 5448681 5852287 7524369 7879851 11502771 13225653 14789277 15884779 17556861 22573107 23639553 34508313 47654337 52670583 103524939 111193453 142963011 158011749 333580359 428889033 1000741077 3002223231