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223348340 = 22526894153
BaseRepresentation
bin11010101000000…
…00011001110100
3120120021021022202
431110000121310
5424134121330
634055044032
75351300225
oct1524003164
9516237282
10223348340
1110508aa06
1262970618
13373707a7
142193d24c
151491c445
hexd500674

223348340 has 24 divisors (see below), whose sum is σ = 469318920. Its totient is φ = 89284608.

The previous prime is 223348337. The next prime is 223348379. The reversal of 223348340 is 43843322.

It can be written as a sum of positive squares in 4 ways, for example, as 21196816 + 202151524 = 4604^2 + 14218^2 .

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 7 ways as a sum of consecutive naturals, for example, 51704 + ... + 55856.

It is an arithmetic number, because the mean of its divisors is an integer number (19554955).

Almost surely, 2223348340 is an apocalyptic number.

223348340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223348340 is an abundant number, since it is smaller than the sum of its proper divisors (245970580).

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

223348340 is a wasteful number, since it uses less digits than its factorization.

223348340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 223348340 is about 14944.8432577930. The cubic root of 223348340 is about 606.7282867544.

The spelling of 223348340 in words is "two hundred twenty-three million, three hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2689 4153 5378 8306 10756 13445 16612 20765 26890 41530 53780 83060 11167417 22334834 44669668 55837085 111674170 223348340