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220131132 = 2231341127271
BaseRepresentation
bin11010001111011…
…10111100111100
3120100012211010220
431013232330330
5422323144012
633502101340
75312040504
oct1507567474
9510184126
10220131132
11103292861
126187a850
13367b5310
1421342a04
15144d408c
hexd1eef3c

220131132 has 96 divisors (see below), whose sum is σ = 573210624. Its totient is φ = 65318400.

The previous prime is 220131089. The next prime is 220131133. The reversal of 220131132 is 231131022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220131133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812157 + ... + 812427.

It is an arithmetic number, because the mean of its divisors is an integer number (5970944).

Almost surely, 2220131132 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 220131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286605312).

220131132 is an abundant number, since it is smaller than the sum of its proper divisors (353079492).

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

220131132 is a wasteful number, since it uses less digits than its factorization.

220131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 220131132 is about 14836.8167744971. The cubic root of 220131132 is about 603.8009921396.

Adding to 220131132 its reverse (231131022), we get a palindrome (451262154).

It can be divided in two parts, 2201 and 31132, that added together give a palindrome (33333).

The spelling of 220131132 in words is "two hundred twenty million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 127 156 164 246 254 271 381 492 508 533 542 762 813 1066 1084 1524 1599 1626 1651 2132 3198 3252 3302 3523 4953 5207 6396 6604 7046 9906 10414 10569 11111 14092 15621 19812 20828 21138 22222 31242 33333 34417 42276 44444 62484 66666 67691 68834 103251 133332 135382 137668 144443 203073 206502 270764 288886 406146 413004 433329 447421 577772 812292 866658 894842 1342263 1411097 1733316 1789684 2684526 2822194 4233291 5369052 5644388 8466582 16933164 18344261 36688522 55032783 73377044 110065566 220131132