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221206376872 = 2313171953124247
BaseRepresentation
bin1100111000000011101…
…1010111000110101000
3210010222020211020201001
43032000323113012220
512111012313024442
6245342032204344
721660462115435
oct3160073270650
9703866736631
10221206376872
11858a4261aa8
1236a556996b4
1317b23911980
14a9c66b6b8c
155b4a08a2b7
hex3380ed71a8

221206376872 has 128 divisors (see below), whose sum is σ = 507230035200. Its totient is φ = 89313988608.

The previous prime is 221206376851. The next prime is 221206376873. The reversal of 221206376872 is 278673602122.

It is a super-2 number, since 2×2212063768722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221206376873) 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, 1718253 + ... + 1842499.

It is an arithmetic number, because the mean of its divisors is an integer number (3962734650).

Almost surely, 2221206376872 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 221206376872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253615017600).

221206376872 is an abundant number, since it is smaller than the sum of its proper divisors (286023658328).

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

221206376872 is a wasteful number, since it uses less digits than its factorization.

221206376872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124355 (or 124351 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

Adding to 221206376872 its reverse (278673602122), we get a palindrome (499879978994).

The spelling of 221206376872 in words is "two hundred twenty-one billion, two hundred six million, three hundred seventy-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 53 68 76 104 106 136 152 212 221 247 323 424 442 494 646 689 884 901 988 1007 1292 1378 1768 1802 1976 2014 2584 2756 3604 4028 4199 5512 7208 8056 8398 11713 13091 16796 17119 23426 26182 33592 34238 46852 52364 68476 93704 104728 124247 136952 222547 248494 445094 496988 890188 993976 1615211 1780376 2112199 2360693 3230422 4224398 4721386 6460844 6585091 8448796 9442772 12921688 13170182 16897592 18885544 26340364 27458587 30689009 40131781 52680728 54917174 61378018 80263562 85606183 109834348 111946547 122756036 125116729 160527124 171212366 219668696 223893094 245512072 250233458 321054248 342424732 447786188 500466916 521713153 684849464 895572376 1000933832 1043426306 1455305111 1626517477 2086852612 2126984393 2910610222 3253034954 4173705224 4253968786 5821220444 6506069908 8507937572 11642440888 13012139816 17015875144 27650797109 55301594218 110603188436 221206376872