Search a number
-
+
514130220 = 223358311471
BaseRepresentation
bin11110101001010…
…000000100101100
31022211102112002000
4132221100010230
52023104131340
6123003332300
715512014632
oct3651200454
91284375060
10514130220
1124423870a
12124221090
1382691886
144c3d3352
1530209d30
hex1ea5012c

514130220 has 96 divisors (see below), whose sum is σ = 1618928640. Its totient is φ = 135437760.

The previous prime is 514130213. The next prime is 514130251. The reversal of 514130220 is 22031415.

514130220 is a `hidden beast` number, since 514 + 130 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 514130193 and 514130202.

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, 39085 + ... + 50555.

It is an arithmetic number, because the mean of its divisors is an integer number (16863840).

Almost surely, 2514130220 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 514130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809464320).

514130220 is an abundant number, since it is smaller than the sum of its proper divisors (1104798420).

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

514130220 is a wasteful number, since it uses less digits than its factorization.

514130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11564 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 514130220 is about 22674.4397946234. The cubic root of 514130220 is about 801.1079544212.

Adding to 514130220 its reverse (22031415), we get a palindrome (536161635).

The spelling of 514130220 in words is "five hundred fourteen million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 11471 14940 22410 22942 34413 44820 45884 57355 68826 103239 114710 137652 172065 206478 229420 309717 344130 412956 516195 619434 688260 952093 1032390 1238868 1548585 1904186 2064780 2856279 3097170 3808372 4760465 5712558 6194340 8568837 9520930 11425116 14281395 17137674 19041860 25706511 28562790 34275348 42844185 51413022 57125580 85688370 102826044 128532555 171376740 257065110 514130220