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221823290312 = 23132128092
BaseRepresentation
bin1100111010010110110…
…0101100101111001000
3210012120020122200211222
43032211230230233020
512113243230242222
6245523150541212
722011662600051
oct3164554545710
9705506580758
10221823290312
1186090512218
1236ba8207808
1317bc167cb00
14aa445c3728
155b842e9542
hex33a5b2cbc8

221823290312 has 36 divisors (see below), whose sum is σ = 450408633795. Its totient is φ = 102371987328.

The previous prime is 221823290233. The next prime is 221823290321. The reversal of 221823290312 is 213092328122.

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 5 ways, for example, as 9234056836 + 212589233476 = 96094^2 + 461074^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333034.

It is a Duffinian number.

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, 17311364 + ... + 17324172.

Almost surely, 2221823290312 is an apocalyptic number.

It is an amenable number.

221823290312 is an abundant number, since it is smaller than the sum of its proper divisors (228585343483).

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

221823290312 is an frugal number, since it uses more digits than its factorization.

221823290312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25650 (or 12824 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 221823290312 in words is "two hundred twenty-one billion, eight hundred twenty-three million, two hundred ninety thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 12809 25618 51236 102472 166517 333034 666068 1332136 2164721 4329442 8658884 17317768 164070481 328140962 656281924 1312563848 2132916253 4265832506 8531665012 17063330024 27727911289 55455822578 110911645156 221823290312