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221214422312 = 231329503145819
BaseRepresentation
bin1100111000000101101…
…0000011010100101000
3210010222210221222222022
43032001122003110220
512111021343003222
6245342520444012
721660620364512
oct3160132032450
9703883858868
10221214422312
11858a8857724
1236a58319608
1317b2549a9a0
14a9c77acbb2
155b4ab29042
hex3381683528

221214422312 has 64 divisors (see below), whose sum is σ = 463007664000. Its totient is φ = 98381654784.

The previous prime is 221214422311. The next prime is 221214422413. The reversal of 221214422312 is 213224412122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (221214422311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444139 + ... + 1589957.

It is an arithmetic number, because the mean of its divisors is an integer number (7234494750).

Almost surely, 2221214422312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221214422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231503832000).

221214422312 is an abundant number, since it is smaller than the sum of its proper divisors (241793241688).

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

221214422312 is a wasteful number, since it uses less digits than its factorization.

221214422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146370 (or 146366 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 221214422312 its reverse (213224412122), we get a palindrome (434438834434).

The spelling of 221214422312 in words is "two hundred twenty-one billion, two hundred fourteen million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 503 754 1006 1508 2012 3016 4024 6539 13078 14587 26156 29174 52312 58348 116696 145819 189631 291638 379262 583276 758524 1166552 1517048 1895647 3791294 4228751 7582588 8457502 15165176 16915004 33830008 54973763 73346957 109947526 146693914 219895052 293387828 439790104 586775656 953510441 1907020882 2127061753 3814041764 4254123506 7628083528 8508247012 17016494024 27651802789 55303605578 110607211156 221214422312