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81222232968 = 2332335872
BaseRepresentation
bin100101110100100111…
…0001110101110001000
321202122111221221102200
41023221032032232020
52312320342423333
6101151334200200
75603522406012
oct1135116165610
9252574857380
1081222232968
113149a918878
12138a91b3060
137875411ba6
143d072151b2
1521a594bc13
hex12e938eb88

81222232968 has 36 divisors (see below), whose sum is σ = 219983430615. Its totient is φ = 27073271568.

The previous prime is 81222232939. The next prime is 81222232979. The reversal of 81222232968 is 86923222218.

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., 40611116484 + 40611116484 = 201522^2 + 201522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=201522.

It is a super-2 number, since 2×812222329682 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2401471 + ... + 2435057.

Almost surely, 281222232968 is an apocalyptic number.

It is an amenable number.

81222232968 is an abundant number, since it is smaller than the sum of its proper divisors (138761197647).

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

81222232968 is an frugal number, since it uses more digits than its factorization.

81222232968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67186 (or 33592 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 81222232968 in words is "eighty-one billion, two hundred twenty-two million, two hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 33587 67174 100761 134348 201522 268696 302283 403044 604566 806088 1209132 2418264 1128086569 2256173138 3384259707 4512346276 6768519414 9024692552 10152779121 13537038828 20305558242 27074077656 40611116484 81222232968