Search a number
-
+
214631511516 = 223229732816243
BaseRepresentation
bin1100011111100100001…
…0001111010111011100
3202112000001001111000100
43013321002033113130
512004031131332031
6242333402101100
721335524513662
oct3077102172734
9675001044010
10214631511516
118302a990384
123571b7aa790
131731670a8b6
14a5613c4c32
1558b2c4bde6
hex31f908f5dc

214631511516 has 72 divisors (see below), whose sum is σ = 568937612880. Its totient is φ = 68130526464.

The previous prime is 214631511503. The next prime is 214631511529. The reversal of 214631511516 is 615115136412.

214631511516 is a `hidden beast` number, since 2 + 1 + 4 + 631 + 5 + 1 + 1 + 5 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (214631511503) and next prime (214631511529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331910 + ... + 1484333.

It is an arithmetic number, because the mean of its divisors is an integer number (7901911290).

Almost surely, 2214631511516 is an apocalyptic number.

It is an amenable number.

214631511516 is an abundant number, since it is smaller than the sum of its proper divisors (354306101364).

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

214631511516 is a wasteful number, since it uses less digits than its factorization.

214631511516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816355 (or 2816350 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

Adding to 214631511516 its reverse (615115136412), we get a palindrome (829746647928).

The spelling of 214631511516 in words is "two hundred fourteen billion, six hundred thirty-one million, five hundred eleven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 73 87 116 146 174 219 261 292 348 438 522 657 876 1044 1314 2117 2628 4234 6351 8468 12702 19053 25404 38106 76212 2816243 5632486 8448729 11264972 16897458 25346187 33794916 50692374 81671047 101384748 163342094 205585739 245013141 326684188 411171478 490026282 616757217 735039423 822342956 980052564 1233514434 1470078846 1850271651 2467028868 2940157692 3700543302 5961986431 7401086604 11923972862 17885959293 23847945724 35771918586 53657877879 71543837172 107315755758 214631511516