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222112000212 = 2231311371576569
BaseRepresentation
bin1100111011011011101…
…0000010100011010100
3210020022100220200101020
43032312322002203110
512114341133001322
6250011543001140
722022066564634
oct3166672024324
9706270820336
10222112000212
1186219485243
1237068a391b0
1317c39426a7b
14aa70a986c4
155b9e82805c
hex33b6e828d4

222112000212 has 96 divisors (see below), whose sum is σ = 529460426880. Its totient is φ = 72460277760.

The previous prime is 222112000211. The next prime is 222112000241. The reversal of 222112000212 is 212000211222.

222112000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222112000191 and 222112000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33808864 + ... + 33815432.

It is an arithmetic number, because the mean of its divisors is an integer number (5515212780).

Almost surely, 2222112000212 is an apocalyptic number.

It is an amenable number.

222112000212 is an abundant number, since it is smaller than the sum of its proper divisors (307348426668).

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

222112000212 is a wasteful number, since it uses less digits than its factorization.

222112000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 222112000212 its reverse (212000211222), we get a palindrome (434112211434).

The spelling of 222112000212 in words is "two hundred twenty-two billion, one hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 131 137 157 262 274 314 393 411 471 524 548 628 786 822 942 1572 1644 1884 6569 13138 17947 19707 20567 21509 26276 35894 39414 41134 43018 53841 61701 64527 71788 78828 82268 86036 107682 123402 129054 215364 246804 258108 860539 899953 1031333 1721078 1799906 2062666 2581617 2699859 2817679 3093999 3442156 3599812 4125332 5163234 5399718 5635358 6187998 8453037 10326468 10799436 11270716 12375996 16906074 33812148 117893843 135104623 141292621 235787686 270209246 282585242 353681529 405313869 423877863 471575372 540418492 565170484 707363058 810627738 847755726 1414726116 1621255476 1695511452 18509333351 37018666702 55528000053 74037333404 111056000106 222112000212