Search a number
-
+
514107220 = 2251121091949
BaseRepresentation
bin11110101001001…
…010011101010100
31022211101100112011
4132221022131110
52023102412340
6123003034004
715511560604
oct3651123524
91284340464
10514107220
11244222400
1212420b904
1382684273
144c3c8c04
15302030ea
hex1ea4a754

514107220 has 72 divisors (see below), whose sum is σ = 1198197000. Its totient is φ = 185137920.

The previous prime is 514107211. The next prime is 514107227. The reversal of 514107220 is 22701415.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 157803844 + 356303376 = 12562^2 + 18876^2 .

It is a super-2 number, since 2×5141072202 = 528612467312256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 514107191 and 514107200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514107227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262806 + ... + 264754.

It is an arithmetic number, because the mean of its divisors is an integer number (16641625).

Almost surely, 2514107220 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 514107220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599098500).

514107220 is an abundant number, since it is smaller than the sum of its proper divisors (684089780).

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

514107220 is a wasteful number, since it uses less digits than its factorization.

514107220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 514107220 is about 22673.9326099378. The cubic root of 514107220 is about 801.0960081885.

Adding to 514107220 its reverse (22701415), we get a palindrome (536808635).

The spelling of 514107220 in words is "five hundred fourteen million, one hundred seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 121 218 220 242 436 484 545 605 1090 1199 1210 1949 2180 2398 2420 3898 4796 5995 7796 9745 11990 13189 19490 21439 23980 26378 38980 42878 52756 65945 85756 107195 131890 212441 214390 235829 263780 424882 428780 471658 849764 943316 1062205 1179145 2124410 2336851 2358290 4248820 4673702 4716580 9347404 11684255 23368510 25705361 46737020 51410722 102821444 128526805 257053610 514107220