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221311223016 = 233132541910069
BaseRepresentation
bin1100111000011100101…
…1010100010011101000
3210011020120002222120120
43032013023110103220
512111221133114031
6245400255323240
721663204233352
oct3160713242350
9704216088516
10221311223016
1185948463504
1236a84820520
1317b3c561200
14a9d65aa0d2
155b5439aa96
hex33872d44e8

221311223016 has 96 divisors (see below), whose sum is σ = 599281812000. Its totient is φ = 68076433152.

The previous prime is 221311223011. The next prime is 221311223017. The reversal of 221311223016 is 610322113122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221311223011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21974430 + ... + 21984498.

It is an arithmetic number, because the mean of its divisors is an integer number (6242518875).

Almost surely, 2221311223016 is an apocalyptic number.

221311223016 is a gapful number since it is divisible by the number (26) 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 221311223016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299640906000).

221311223016 is an abundant number, since it is smaller than the sum of its proper divisors (377970588984).

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

221311223016 is a wasteful number, since it uses less digits than its factorization.

221311223016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15523 (or 15506 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221311223016 its reverse (610322113122), we get a palindrome (831633336138).

The spelling of 221311223016 in words is "two hundred twenty-one billion, three hundred eleven million, two hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 5419 10069 10838 16257 20138 21676 30207 32514 40276 43352 60414 65028 70447 80552 120828 130056 130897 140894 211341 241656 261794 281788 392691 422682 523588 563576 785382 845364 915811 1047176 1570764 1690728 1701661 1831622 2747433 3141528 3403322 3663244 5104983 5494866 6806644 7326488 10209966 10989732 13613288 20419932 21979464 40839864 54563911 109127822 163691733 218255644 327383466 436511288 654766932 709330843 1309533864 1418661686 2127992529 2837323372 4255985058 5674646744 8511970116 9221300959 17023940232 18442601918 27663902877 36885203836 55327805754 73770407672 110655611508 221311223016