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222145308 = 223371126713
BaseRepresentation
bin11010011110110…
…10101100011100
3120111000011002000
431033122230130
5423332122213
634013202300
75335126650
oct1517325434
9514004060
10222145308
11104439070
1262490390
133703c038
1421708a60
1514780c73
hexd3dab1c

222145308 has 96 divisors (see below), whose sum is σ = 718072320. Its totient is φ = 57697920.

The previous prime is 222145279. The next prime is 222145327. The reversal of 222145308 is 803541222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5041 + ... + 21672.

It is an arithmetic number, because the mean of its divisors is an integer number (7479920).

Almost surely, 2222145308 is an apocalyptic number.

222145308 is a gapful number since it is divisible by the number (28) 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 222145308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359036160).

222145308 is an abundant number, since it is smaller than the sum of its proper divisors (495927012).

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

222145308 is a wasteful number, since it uses less digits than its factorization.

222145308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26744 (or 26736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 222145308 is about 14904.5398452955. The cubic root of 222145308 is about 605.6369750050.

It can be divided in two parts, 222 and 145308, that added together give a triangular number (145530 = T539).

The spelling of 222145308 in words is "two hundred twenty-two million, one hundred forty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 26713 53426 80139 106852 160278 186991 240417 293843 320556 373982 480834 560973 587686 721251 747964 881529 961668 1121946 1175372 1442502 1682919 1763058 2056901 2243892 2644587 2885004 3365838 3526116 4113802 5048757 5289174 6170703 6731676 7933761 8227604 10097514 10578348 12341406 15867522 18512109 20195028 24682812 31735044 37024218 55536327 74048436 111072654 222145308