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222343380 = 22345722801
BaseRepresentation
bin11010100000010…
…11000011010100
3120111101012210000
431100023003110
5423404442010
634021331300
75336613300
oct1520130324
9514335700
10222343380
11104563966
1262566b30
13370ab23c
142175ad00
15147be7c0
hexd40b0d4

222343380 has 180 divisors, whose sum is σ = 811666548. Its totient is φ = 50803200.

The previous prime is 222343361. The next prime is 222343421. The reversal of 222343380 is 83343222.

222343380 is a `hidden beast` number, since 2 + 223 + 433 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 125753796 = 9828^2 + 11214^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77980 + ... + 80780.

Almost surely, 2222343380 is an apocalyptic number.

222343380 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 222343380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405833274).

222343380 is an abundant number, since it is smaller than the sum of its proper divisors (589323168).

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

222343380 is a wasteful number, since it uses less digits than its factorization.

222343380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 222343380 is about 14911.1830516562. The cubic root of 222343380 is about 605.8169234245.

The spelling of 222343380 in words is "two hundred twenty-two million, three hundred forty-three thousand, three hundred eighty".