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222199380 = 2232513269353
BaseRepresentation
bin11010011111001…
…11111001010100
3120111002220020200
431033213321110
5423340340010
634014300500
75335443414
oct1517477124
9514086220
10222199380
11104475757
12624b7730
133705a830
1421720644
1514791cc0
hexd3e7e54

222199380 has 144 divisors (see below), whose sum is σ = 730613520. Its totient is φ = 54337536.

The previous prime is 222199339. The next prime is 222199463. The reversal of 222199380 is 83991222.

It can be written as a sum of positive squares in 8 ways, for example, as 65999376 + 156200004 = 8124^2 + 12498^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629284 + ... + 629636.

It is an arithmetic number, because the mean of its divisors is an integer number (5073705).

Almost surely, 2222199380 is an apocalyptic number.

222199380 is a gapful number since it is divisible by the number (20) 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 222199380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365306760).

222199380 is an abundant number, since it is smaller than the sum of its proper divisors (508414140).

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

222199380 is a wasteful number, since it uses less digits than its factorization.

222199380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 222199380 is about 14906.3536788847. The cubic root of 222199380 is about 605.6861100301.

The spelling of 222199380 in words is "two hundred twenty-two million, one hundred ninety-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 269 353 390 468 538 585 706 780 807 1059 1076 1170 1345 1412 1614 1765 2118 2340 2421 2690 3177 3228 3497 3530 4035 4236 4589 4842 5295 5380 6354 6994 7060 8070 9178 9684 10491 10590 12105 12708 13767 13988 15885 16140 17485 18356 20982 21180 22945 24210 27534 31473 31770 34970 41301 41964 45890 48420 52455 55068 62946 63540 68835 69940 82602 91780 94957 104910 125892 137670 157365 165204 189914 206505 209820 275340 284871 314730 379828 413010 474785 569742 629460 826020 854613 949570 1139484 1234441 1424355 1709226 1899140 2468882 2848710 3418452 3703323 4273065 4937764 5697420 6172205 7406646 8546130 11109969 12344410 14813292 17092260 18516615 22219938 24688820 37033230 44439876 55549845 74066460 111099690 222199380