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10220222002212 = 22323715137506893
BaseRepresentation
bin1001010010111001010010…
…1100111011010000100100
31100012001011211210002100200
42110232110230323100210
52314422003313032322
633423034414510500
72103246425441055
oct224562454732044
940161154702320
1010220222002212
11329040a974842
1211908b7805430
135919bbb41181
14274938ba472c
1512acb88868ac
hex94b94b3b424

10220222002212 has 72 divisors (see below), whose sum is σ = 26534483624376. Its totient is φ = 3314441078784.

The previous prime is 10220222002187. The next prime is 10220222002313. The reversal of 10220222002212 is 21220022202201.

10220222002212 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 220 + 0 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3285932045796 + 6934289956416 = 1812714^2 + 2633304^2 .

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

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, 19909038 + ... + 20415930.

It is an arithmetic number, because the mean of its divisors is an integer number (368534494783).

Almost surely, 210220222002212 is an apocalyptic number.

10220222002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220222002212 is an abundant number, since it is smaller than the sum of its proper divisors (16314261622164).

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

10220222002212 is a wasteful number, since it uses less digits than its factorization.

10220222002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522077 (or 522072 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10220222002212 its reverse (21220022202201), we get a palindrome (31440244204413).

The spelling of 10220222002212 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 15137 30274 45411 60548 90822 136233 181644 272466 506893 544932 560069 1013786 1120138 1520679 1680207 2027572 2240276 3041358 3360414 4562037 5040621 6082716 6720828 9124074 10081242 18248148 18755041 20162484 37510082 56265123 75020164 112530246 168795369 225060492 337590738 675181476 7672839341 15345678682 23018518023 30691357364 46037036046 69055554069 92074072092 138111108138 276222216276 283895055617 567790111234 851685166851 1135580222468 1703370333702 2555055500553 3406740667404 5110111001106 10220222002212