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212207883392 = 2719221432
BaseRepresentation
bin1100010110100010010…
…0110101010010000000
3202021202010120102020202
43011220210311102000
511434100204232032
6241253103224332
721221465150531
oct3055044652200
9667663512222
10212207883392
1181aa68aa72a
1235163ba80a8
131701b56b30b
14a3b1574688
1557c00a9d62
hex3168935480

212207883392 has 72 divisors (see below), whose sum is σ = 446387682915. Its totient is φ = 100472617728.

The previous prime is 212207883389. The next prime is 212207883397. The reversal of 212207883392 is 293388702212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 106103941696 + 106103941696 = 325736^2 + 325736^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=325736.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212207883397) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99022673 + ... + 99024815.

Almost surely, 2212207883392 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 212207883392

212207883392 is an abundant number, since it is smaller than the sum of its proper divisors (234179799523).

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

212207883392 is an frugal number, since it uses more digits than its factorization.

212207883392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 212207883392 in words is "two hundred twelve billion, two hundred seven million, eight hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2143 2432 2888 4286 5776 8572 11552 17144 23104 34288 40717 46208 68576 81434 137152 162868 274304 325736 651472 773623 1302944 1547246 2605888 3094492 4592449 5211776 6188984 9184898 12377968 18369796 24755936 36739592 49511872 73479184 87256531 99023744 146958368 174513062 293916736 349026124 587833472 698052248 1396104496 1657874089 2792208992 3315748178 5584417984 6631496356 11168835968 13262992712 26525985424 53051970848 106103941696 212207883392