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221221210212 = 22341016760213
BaseRepresentation
bin1100111000000111001…
…1111100100001100100
3210011000021201212020000
43032001303330201210
512111030112211322
6245343322141300
721661032155352
oct3160163744144
9704007655200
10221221210212
1185901673562
1236a5a651830
1317b26a064b2
14a9c86587d2
155b4b51a3ac
hex3381cfc864

221221210212 has 60 divisors (see below), whose sum is σ = 584041928316. Its totient is φ = 73010289600.

The previous prime is 221221210207. The next prime is 221221210213. The reversal of 221221210212 is 212012122122.

It is a happy number.

221221210212 is a `hidden beast` number, since 2 + 21 + 221 + 210 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216956597796 + 4264612416 = 465786^2 + 65304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221221210213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3347383 + ... + 3412830.

Almost surely, 2221221210212 is an apocalyptic number.

It is an amenable number.

221221210212 is an abundant number, since it is smaller than the sum of its proper divisors (362820718104).

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

221221210212 is a wasteful number, since it uses less digits than its factorization.

221221210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760330 (or 6760319 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221221210212 its reverse (212012122122), we get a palindrome (433233332334).

The spelling of 221221210212 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 6760213 13520426 20280639 27040852 40561278 60841917 81122556 121683834 182525751 243367668 365051502 547577253 682781513 730103004 1095154506 1365563026 2048344539 2190309012 2731126052 4096689078 6145033617 8193378156 12290067234 18435100851 24580134468 36870201702 55305302553 73740403404 110610605106 221221210212