Search a number
-
+
2014133310 = 233571762687
BaseRepresentation
bin111100000001101…
…0011110000111110
312012100221120111000
41320003103300332
513111104231220
6531505511130
7100624564530
oct17003236076
95170846430
102014133310
11943a20192
124826424a6
13261385377
141516d7850
15bbc55390
hex780d3c3e

2014133310 has 128 divisors (see below), whose sum is σ = 6499491840. Its totient is φ = 433285632.

The previous prime is 2014133269. The next prime is 2014133321. The reversal of 2014133310 is 133314102.

It is a super-2 number, since 2×20141333102 = 8113465980903112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 787 + ... + 63473.

It is an arithmetic number, because the mean of its divisors is an integer number (50777280).

Almost surely, 22014133310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249745920).

2014133310 is an abundant number, since it is smaller than the sum of its proper divisors (4485358530).

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

2014133310 is a wasteful number, since it uses less digits than its factorization.

2014133310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62727 (or 62721 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2014133310 is about 44879.0965818164. The cubic root of 2014133310 is about 1262.8818955129.

Adding to 2014133310 its reverse (133314102), we get a palindrome (2147447412).

The spelling of 2014133310 in words is "two billion, fourteen million, one hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4590 5355 6426 10710 16065 32130 62687 125374 188061 313435 376122 438809 564183 626870 877618 940305 1065679 1128366 1316427 1692549 1880610 2131358 2194045 2632854 2820915 3197037 3385098 3949281 4388090 5328395 5641830 6394074 6582135 7459753 7898562 8462745 9591111 10656790 11847843 13164270 14919506 15985185 16925490 19182222 19746405 22379259 23695686 28773333 31970370 37298765 39492810 44758518 47955555 57546666 59239215 67137777 74597530 95911110 111896295 118478430 134275554 143866665 201413331 223792590 287733330 335688885 402826662 671377770 1007066655 2014133310