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222230042304 = 26319120150723
BaseRepresentation
bin1100111011110111110…
…0010101011011000000
3210020121121000211200120
43032331330111123000
512120111342323204
6250031401020240
722025032122654
oct3167574253300
9706547024616
10222230042304
118627a079a96
12370a0484680
1317c57a1676a
14aa82624a64
155ba9d936d9
hex33bdf156c0

222230042304 has 112 divisors (see below), whose sum is σ = 619457719680. Its totient is φ = 70118092800.

The previous prime is 222230042269. The next prime is 222230042329. The reversal of 222230042304 is 403240032222.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4355887 + ... + 4406609.

Almost surely, 2222230042304 is an apocalyptic number.

222230042304 is a gapful number since it is divisible by the number (24) 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 222230042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309728859840).

222230042304 is an abundant number, since it is smaller than the sum of its proper divisors (397227677376).

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

222230042304 is a wasteful number, since it uses less digits than its factorization.

222230042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51958 (or 51948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 222230042304 its reverse (403240032222), we get a palindrome (625470074526).

The spelling of 222230042304 in words is "two hundred twenty-two billion, two hundred thirty million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1201 1216 1824 2402 3603 3648 4804 7206 9608 14412 19216 22819 28824 38432 45638 50723 57648 68457 76864 91276 101446 115296 136914 152169 182552 202892 230592 273828 304338 365104 405784 547656 608676 730208 811568 963737 1095312 1217352 1460416 1623136 1927474 2190624 2434704 2891211 3246272 3854948 4381248 4869408 5782422 7709896 9738816 11564844 15419792 23129688 30839584 46259376 60918323 61679168 92518752 121836646 182754969 185037504 243673292 365509938 487346584 731019876 974693168 1157448137 1462039752 1949386336 2314896274 2924079504 3472344411 3898772672 4629792548 5848159008 6944688822 9259585096 11696318016 13889377644 18519170192 27778755288 37038340384 55557510576 74076680768 111115021152 222230042304