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514224520 = 235293711981
BaseRepresentation
bin11110101001100…
…111000110001000
31022211121022102121
4132221213012020
52023120141040
6123005341024
715512556565
oct3651470610
91284538377
10514224520
112442a2547
12124267774
13826c5784
144c41986c
1530227c4a
hex1ea67188

514224520 has 64 divisors (see below), whose sum is σ = 1229353200. Its totient is φ = 193213440.

The previous prime is 514224511. The next prime is 514224527. The reversal of 514224520 is 25422415.

It can be written as a sum of positive squares in 8 ways, for example, as 464747364 + 49477156 = 21558^2 + 7034^2 .

It is a super-3 number, since 3×5142245203 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (514224527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36930 + ... + 48910.

Almost surely, 2514224520 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 514224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614676600).

514224520 is an abundant number, since it is smaller than the sum of its proper divisors (715128680).

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

514224520 is a wasteful number, since it uses less digits than its factorization.

514224520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12058 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 514224520 is about 22676.5191332356. The cubic root of 514224520 is about 801.1569302506.

Adding to 514224520 its reverse (25422415), we get a palindrome (539646935).

The spelling of 514224520 in words is "five hundred fourteen million, two hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 232 290 296 370 580 740 1073 1160 1480 2146 4292 5365 8584 10730 11981 21460 23962 42920 47924 59905 95848 119810 239620 347449 443297 479240 694898 886594 1389796 1737245 1773188 2216485 2779592 3474490 3546376 4432970 6948980 8865940 12855613 13897960 17731880 25711226 51422452 64278065 102844904 128556130 257112260 514224520