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531400212 = 2232717163761
BaseRepresentation
bin11111101011001…
…000011000010100
31101000220221001100
4133223020120110
52042014301322
6124421430100
716111553520
oct3753103024
91330827040
10531400212
11252a63932
12129b6b330
138612a4c5
145080ad80
15319bbdac
hex1fac8614

531400212 has 144 divisors (see below), whose sum is σ = 1637580672. Its totient is φ = 141834240.

The previous prime is 531400201. The next prime is 531400213. The reversal of 531400212 is 212004135.

531400212 is a `hidden beast` number, since 53 + 1 + 400 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531400213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697912 + ... + 698672.

It is an arithmetic number, because the mean of its divisors is an integer number (11372088).

Almost surely, 2531400212 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 531400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818790336).

531400212 is an abundant number, since it is smaller than the sum of its proper divisors (1106180460).

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

531400212 is a wasteful number, since it uses less digits than its factorization.

531400212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

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

The square root of 531400212 is about 23052.1194687170. The cubic root of 531400212 is about 809.9792770190.

Adding to 531400212 its reverse (212004135), we get a palindrome (743404347).

The spelling of 531400212 in words is "five hundred thirty-one million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 163 204 238 252 306 326 357 476 489 612 652 714 761 978 1071 1141 1428 1467 1522 1956 2142 2282 2283 2771 2934 3044 3423 4284 4564 4566 5327 5542 5868 6846 6849 8313 9132 10269 10654 11084 12937 13692 13698 15981 16626 19397 20538 21308 24939 25874 27396 31962 33252 38794 38811 41076 47943 49878 51748 58191 63924 77588 77622 90559 95886 99756 116382 116433 124043 155244 174573 181118 191772 232764 232866 248086 271677 349146 362236 372129 465732 496172 543354 698292 744258 815031 868301 1086708 1116387 1488516 1630062 1736602 2108731 2232774 2604903 3260124 3473204 4217462 4465548 5209806 6326193 7814709 8434924 10419612 12652386 14761117 15629418 18978579 25304772 29522234 31258836 37957158 44283351 59044468 75914316 88566702 132850053 177133404 265700106 531400212