Search a number
-
+
235314352644 = 223713731096577
BaseRepresentation
bin1101101100100111010…
…1000001001000000100
3211111101110110200012020
43123021311001020010
512323410433241034
6300034003123140
723000210665230
oct3331165011004
9744343420166
10235314352644
11908838aa008
12397323734b0
13192616c7727
14b5642595c0
1561c38eb249
hex36c9d41204

235314352644 has 96 divisors (see below), whose sum is σ = 632384712960. Its totient is φ = 66710310912.

The previous prime is 235314352643. The next prime is 235314352661. The reversal of 235314352644 is 446253413532.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 235314352596 and 235314352605.

It is not an unprimeable number, because it can be changed into a prime (235314352643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35775084 + ... + 35781660.

It is an arithmetic number, because the mean of its divisors is an integer number (6587340760).

Almost surely, 2235314352644 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 235314352644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316192356480).

235314352644 is an abundant number, since it is smaller than the sum of its proper divisors (397070360316).

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

235314352644 is a wasteful number, since it uses less digits than its factorization.

235314352644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837 (or 9835 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 235314352644 in words is "two hundred thirty-five billion, three hundred fourteen million, three hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3109 3836 5754 6218 6577 9327 11508 12436 13154 18654 19731 21763 26308 37308 39462 43526 46039 65289 78924 87052 92078 130578 138117 184156 261156 276234 425933 552468 851866 901049 1277799 1703732 1802098 2555598 2703147 2981531 3604196 5111196 5406294 5963062 6307343 8944593 10812588 11926124 12614686 17889186 18922029 20447893 25229372 35778372 37844058 40895786 61343679 75688116 81791572 122687358 143135251 245374716 286270502 429405753 572541004 858811506 1717623012 2801361341 5602722682 8404084023 11205445364 16808168046 19609529387 33616336092 39219058774 58828588161 78438117548 117657176322 235314352644