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80232222223208 = 23116116998797169
BaseRepresentation
bin10010001111100010000101…
…000110101110101101101000
3101112002010101111221020122202
4102033202011012232231220
541004011042342120313
6442350101332435332
722620405155341136
oct2217420506565550
9345063344836582
1080232222223208
1123623326882580
128bb9660a78b48
13359cb34a59153
1415b53902a4756
15942056b43558
hex48f8851aeb68

80232222223208 has 64 divisors (see below), whose sum is σ = 166899909240000. Its totient is φ = 35850219033600.

The previous prime is 80232222223199. The next prime is 80232222223259.

80232222223208 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×802322222232082 (a number of 29 digits) contains 22 as substring.

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, 4721648 + ... + 13518816.

It is an arithmetic number, because the mean of its divisors is an integer number (2607811081875).

Almost surely, 280232222223208 is an apocalyptic number.

80232222223208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80232222223208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83449954620000).

80232222223208 is an abundant number, since it is smaller than the sum of its proper divisors (86667687016792).

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

80232222223208 is a wasteful number, since it uses less digits than its factorization.

80232222223208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798946 (or 8798942 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 80232222223208 in words is "eighty trillion, two hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, two hundred eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1342 1699 2684 3398 5368 6796 13592 18689 37378 74756 103639 149512 207278 414556 829112 1140029 2280058 4560116 8797169 9120232 17594338 35188676 70377352 96768859 193537718 387075436 536627309 774150872 1073254618 2146509236 4293018472 5902900399 11805800798 14946390131 23611601596 29892780262 47223203192 59785560524 119571121048 164410291441 328820582882 657641165764 911729797991 1315282331528 1823459595982 3646919191964 7293838383928 10029027777901 20058055555802 40116111111604 80232222223208