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80212221208 = 23753101267581
BaseRepresentation
bin100101010110100000…
…1010101110100011000
321200001010110000202201
41022231001111310120
52303233312034313
6100503214135544
75536506426220
oct1125501256430
9250033400681
1080212221208
1131021787009
1213666ab15b4
1377440aa9b2
143c4d01d080
152146e3e0dd
hex12ad055d18

80212221208 has 64 divisors (see below), whose sum is σ = 176860998720. Its totient is φ = 33393984000.

The previous prime is 80212221197. The next prime is 80212221259.

80212221208 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×802122212082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165978 + ... + 433558.

It is an arithmetic number, because the mean of its divisors is an integer number (2763453105).

Almost surely, 280212221208 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 80212221208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88430499360).

80212221208 is an abundant number, since it is smaller than the sum of its proper divisors (96648777512).

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

80212221208 is a wasteful number, since it uses less digits than its factorization.

80212221208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267748 (or 267744 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 80212221208 in words is "eighty billion, two hundred twelve million, two hundred twenty-one thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 28 53 56 101 106 202 212 371 404 424 707 742 808 1414 1484 2828 2968 5353 5656 10706 21412 37471 42824 74942 149884 267581 299768 535162 1070324 1873067 2140648 3746134 7492268 14181793 14984536 27025681 28363586 54051362 56727172 99272551 108102724 113454344 189179767 198545102 216205448 378359534 397090204 756719068 794180408 1432361093 1513438136 2864722186 5729444372 10026527651 11458888744 20053055302 40106110604 80212221208