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222382980 = 223251319431
BaseRepresentation
bin11010100000101…
…00101110000100
3120111110020002200
431100110232010
5423412223410
634022234500
75340136611
oct1520245604
9514406080
10222382980
11104590696
1262585a30
13370c3281
142176b508
15147cb3c0
hexd414b84

222382980 has 72 divisors (see below), whose sum is σ = 679783104. Its totient is φ = 58843200.

The previous prime is 222382949. The next prime is 222382981. The reversal of 222382980 is 89283222.

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

It is not an unprimeable number, because it can be changed into a prime (222382981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18865 + ... + 28295.

It is an arithmetic number, because the mean of its divisors is an integer number (9441432).

Almost surely, 2222382980 is an apocalyptic number.

222382980 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 222382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339891552).

222382980 is an abundant number, since it is smaller than the sum of its proper divisors (457400124).

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

222382980 is a wasteful number, since it uses less digits than its factorization.

222382980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9577 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 222382980 is about 14912.5108549835. The cubic root of 222382980 is about 605.8528872058.

The spelling of 222382980 in words is "two hundred twenty-two million, three hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 9431 11790 18862 23580 28293 37724 47155 56586 84879 94310 113172 141465 169758 188620 282930 339516 424395 565860 848790 1235461 1697580 2470922 3706383 4941844 6177305 7412766 11119149 12354610 14825532 18531915 22238298 24709220 37063830 44476596 55595745 74127660 111191490 222382980