Search a number
-
+
233131230220 = 225737197228457
BaseRepresentation
bin1101100100011110110…
…1000100010000001100
3211021202022112120020011
43121013231010100030
512304423043331340
6255033215203004
722562131521640
oct3310755042014
9737668476204
10233131230220
118a9635578a9
1239223216464
1318ca4325205
14b3d8332c20
1560e6e150ea
hex3647b4440c

233131230220 has 96 divisors (see below), whose sum is σ = 577556445312. Its totient is φ = 77375305728.

The previous prime is 233131230191. The next prime is 233131230251. The reversal of 233131230220 is 22032131332.

It is a junction number, because it is equal to n+sod(n) for n = 233131230191 and 233131230200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906232 + ... + 1134688.

It is an arithmetic number, because the mean of its divisors is an integer number (6016212972).

Almost surely, 2233131230220 is an apocalyptic number.

233131230220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233131230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288778222656).

233131230220 is an abundant number, since it is smaller than the sum of its proper divisors (344425215092).

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

233131230220 is a wasteful number, since it uses less digits than its factorization.

233131230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228707 (or 228705 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233131230220 its reverse (22032131332), we get a palindrome (255163361552).

The spelling of 233131230220 in words is "two hundred thirty-three billion, one hundred thirty-one million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 197 259 370 394 518 740 788 985 1036 1295 1379 1970 2590 2758 3940 5180 5516 6895 7289 13790 14578 27580 29156 36445 51023 72890 102046 145780 204092 228457 255115 456914 510230 913828 1020460 1142285 1599199 2284570 3198398 4569140 6396796 7995995 8452909 15991990 16905818 31983980 33811636 42264545 45006029 59170363 84529090 90012058 118340726 169058180 180024116 225030145 236681452 295851815 315042203 450060290 591703630 630084406 900120580 1183407260 1260168812 1575211015 1665223073 3150422030 3330446146 6300844060 6660892292 8326115365 11656561511 16652230730 23313123022 33304461460 46626246044 58282807555 116565615110 233131230220