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221054530312 = 237111033334729
BaseRepresentation
bin1100110111011111100…
…0000111001100001000
3210010120200002122101101
43031313320013030020
512110204424432222
6245315005431144
721653636335210
oct3156770071410
9703520078341
10221054530312
1185826579480
1236a1286b4b4
1317acb317435
14a9b046b240
155b3ba93927
hex3377e07308

221054530312 has 64 divisors (see below), whose sum is σ = 516815740800. Its totient is φ = 86114327040.

The previous prime is 221054530303. The next prime is 221054530357. The reversal of 221054530312 is 213035450122.

221054530312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6347764 + ... + 6382492.

It is an arithmetic number, because the mean of its divisors is an integer number (8075245950).

Almost surely, 2221054530312 is an apocalyptic number.

221054530312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221054530312 is an abundant number, since it is smaller than the sum of its proper divisors (295761210488).

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

221054530312 is a wasteful number, since it uses less digits than its factorization.

221054530312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45086 (or 45082 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 221054530312 its reverse (213035450122), we get a palindrome (434089980434).

The spelling of 221054530312 in words is "two hundred twenty-one billion, fifty-four million, five hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 10333 20666 34729 41332 69458 72331 82664 113663 138916 144662 227326 243103 277832 289324 382019 454652 486206 578648 764038 795641 909304 972412 1528076 1591282 1944824 2674133 3056152 3182564 5348266 6365128 10696532 21393064 358854757 717709514 1435419028 2511983299 2870838056 3947402327 5023966598 7894804654 10047933196 15789609308 20095866392 27631816289 31579218616 55263632578 110527265156 221054530312