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223442120 = 235111792837
BaseRepresentation
bin11010101000101…
…11010011001000
3120120110000222002
431110113103020
5424200121440
634101050132
75352140516
oct1524272310
9516400862
10223442120
11105144410
12629b6948
13373a4395
14219654b6
151493a115
hexd5174c8

223442120 has 64 divisors (see below), whose sum is σ = 551707200. Its totient is φ = 80769280.

The previous prime is 223442111. The next prime is 223442143. The reversal of 223442120 is 21244322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223442092 and 223442101.

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 15 ways as a sum of consecutive naturals, for example, 77342 + ... + 80178.

It is an arithmetic number, because the mean of its divisors is an integer number (8620425).

Almost surely, 2223442120 is an apocalyptic number.

223442120 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 223442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275853600).

223442120 is an abundant number, since it is smaller than the sum of its proper divisors (328265080).

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

223442120 is a wasteful number, since it uses less digits than its factorization.

223442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223442120 is about 14947.9804656014. The cubic root of 223442120 is about 606.8131930148.

Adding to 223442120 its reverse (21244322), we get a palindrome (244686442).

The spelling of 223442120 in words is "two hundred twenty-three million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 2837 3580 3938 5674 7160 7876 9845 11348 14185 15752 19690 22696 28370 31207 39380 56740 62414 78760 113480 124828 156035 249656 312070 507823 624140 1015646 1248280 2031292 2539115 4062584 5078230 5586053 10156460 11172106 20312920 22344212 27930265 44688424 55860530 111721060 223442120