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212206569216 = 2832979120607
BaseRepresentation
bin1100010110100001111…
…1110100011100000000
3202021202001002122112120
43011220133310130000
511434044340203331
6241253015124240
721221451035235
oct3055037643400
9667661078476
10212206569216
1181aa6092334
1235163673680
131701b1cb0b5
14a3b131178c
1557bedea796
hex31687f4700

212206569216 has 144 divisors (see below), whose sum is σ = 591654604800. Its totient is φ = 67431297024.

The previous prime is 212206569203. The next prime is 212206569217. The reversal of 212206569216 is 612965602212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212206569217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699185 + ... + 1819791.

Almost surely, 2212206569216 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 212206569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295827302400).

212206569216 is an abundant number, since it is smaller than the sum of its proper divisors (379448035584).

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

212206569216 is a wasteful number, since it uses less digits than its factorization.

212206569216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120734 (or 120720 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 212206569216 in words is "two hundred twelve billion, two hundred six million, five hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 79 87 96 116 128 158 174 192 232 237 256 316 348 384 464 474 632 696 768 928 948 1264 1392 1856 1896 2291 2528 2784 3712 3792 4582 5056 5568 6873 7424 7584 9164 10112 11136 13746 15168 18328 20224 22272 27492 30336 36656 54984 60672 73312 109968 120607 146624 219936 241214 293248 361821 439872 482428 586496 723642 879744 964856 1447284 1759488 1929712 2894568 3497603 3859424 5789136 6995206 7718848 9527953 10492809 11578272 13990412 15437696 19055906 20985618 23156544 27980824 28583859 30875392 38111812 41971236 46313088 55961648 57167718 76223624 83942472 92626176 111923296 114335436 152447248 167884944 223846592 228670872 276310637 304894496 335769888 447693184 457341744 552621274 609788992 671539776 828931911 895386368 914683488 1105242548 1219577984 1343079552 1657863822 1829366976 2210485096 2439155968 2686159104 3315727644 3658733952 4420970192 6631455288 7317467904 8841940384 13262910576 17683880768 26525821152 35367761536 53051642304 70735523072 106103284608 212206569216