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223364540 = 22572317719
BaseRepresentation
bin11010101000001…
…00010110111100
3120120022002112202
431110010112330
5424140131130
634055251032
75351365400
oct1524042674
9516262482
10223364540
111050a10a3
1262979a78
1337377c89
1421945100
1514922145
hexd5045bc

223364540 has 72 divisors (see below), whose sum is σ = 548130240. Its totient is φ = 76234368.

The previous prime is 223364503. The next prime is 223364567. The reversal of 223364540 is 45463322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310301 + ... + 311019.

It is an arithmetic number, because the mean of its divisors is an integer number (7612920).

Almost surely, 2223364540 is an apocalyptic number.

223364540 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 223364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274065120).

223364540 is an abundant number, since it is smaller than the sum of its proper divisors (324765700).

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

223364540 is a wasteful number, since it uses less digits than its factorization.

223364540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 223364540 is about 14945.3852409364. The cubic root of 223364540 is about 606.7429555607.

The spelling of 223364540 in words is "two hundred twenty-three million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 317 490 634 719 980 1268 1438 1585 2219 2876 3170 3595 4438 5033 6340 7190 8876 10066 11095 14380 15533 20132 22190 25165 31066 35231 44380 50330 62132 70462 77665 100660 140924 155330 176155 227923 310660 352310 455846 704620 911692 1139615 1595461 2279230 3190922 4558460 6381844 7977305 11168227 15954610 22336454 31909220 44672908 55841135 111682270 223364540