Search a number
-
+
235222655352 = 23331229573449
BaseRepresentation
bin1101101100010001011…
…1001110000101111000
3211111011001220222011020
43123010113032011320
512323213444432402
6300020525502440
722665015403206
oct3330427160570
9744131828136
10235222655352
1190837069523
1239707711a20
1319248700089
14b555dca076
1561ba8368bc
hex36c45ce178

235222655352 has 96 divisors (see below), whose sum is σ = 608019858000. Its totient is φ = 75830622720.

The previous prime is 235222655351. The next prime is 235222655419. The reversal of 235222655352 is 253556222532.

235222655352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235222655351) 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 23 ways as a sum of consecutive naturals, for example, 68198524 + ... + 68201972.

Almost surely, 2235222655352 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 235222655352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304009929000).

235222655352 is an abundant number, since it is smaller than the sum of its proper divisors (372797202648).

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

235222655352 is a wasteful number, since it uses less digits than its factorization.

235222655352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6442 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 42.

Adding to 235222655352 its reverse (253556222532), we get a palindrome (488778877884).

The spelling of 235222655352 in words is "two hundred thirty-five billion, two hundred twenty-two million, six hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 2957 3449 3844 5766 5914 6898 7688 8871 10347 11532 11828 13796 17742 20694 23064 23656 27592 35484 41388 70968 82776 91667 106919 183334 213838 275001 320757 366668 427676 550002 641514 733336 855352 1100004 1283028 2200008 2566056 2841677 3314489 5683354 6628978 8525031 9943467 10198693 11366708 13257956 17050062 19886934 20397386 22733416 26515912 30596079 34100124 39773868 40794772 61192158 68200248 79547736 81589544 122384316 244768632 316159483 632318966 948478449 1264637932 1896956898 2529275864 3793913796 7587827592 9800943973 19601887946 29402831919 39203775892 58805663838 78407551784 117611327676 235222655352