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222100021210212 = 2232349124914153317
BaseRepresentation
bin110010011111111110110000…
…110111100110110001100100
31002010101112222100111100101100
4302133332300313212301210
5213102341320412211322
62104211201410200100
764532124400162365
oct6237766067466144
91063345870440340
10222100021210212
116484a0a9923872
1220ab057b883030
1396c0c32b31922
143cbb9ac513b6c
151aa24e7e2bdac
hexc9ffb0de6c64

222100021210212 has 72 divisors (see below), whose sum is σ = 563478972875000. Its totient is φ = 73762101024768.

The previous prime is 222100021210157. The next prime is 222100021210219. The reversal of 222100021210212 is 212012120001222.

It is a happy number.

222100021210212 is a `hidden beast` number, since 2 + 221 + 0 + 0 + 0 + 21 + 210 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15321775804416 + 206778245405796 = 3914304^2 + 14379786^2 .

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 (222100021210219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8615778 + ... + 22769094.

Almost surely, 2222100021210212 is an apocalyptic number.

It is an amenable number.

222100021210212 is an abundant number, since it is smaller than the sum of its proper divisors (341378951664788).

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

222100021210212 is a wasteful number, since it uses less digits than its factorization.

222100021210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154925 (or 14154920 counting only the distinct ones).

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

Adding to 222100021210212 its reverse (212012120001222), we get a palindrome (434112141211434).

The spelling of 222100021210212 in words is "two hundred twenty-two trillion, one hundred billion, twenty-one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 349 698 1047 1249 1396 2094 2498 3141 3747 4188 4996 6282 7494 11241 12564 14988 22482 44964 435901 871802 1307703 1743604 2615406 3923109 5230812 7846218 14153317 15692436 28306634 42459951 56613268 84919902 127379853 169839804 254759706 509519412 4939507633 9879015266 14818522899 17677492933 19758030532 29637045798 35354985866 44455568697 53032478799 59274091596 70709971732 88911137394 106064957598 159097436397 177822274788 212129915196 318194872794 636389745588 6169445033617 12338890067234 18508335100851 24677780134468 37016670201702 55525005302553 74033340403404 111050010605106 222100021210212