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223416020 = 225234631049
BaseRepresentation
bin11010101000100…
…00111011010100
3120120101201011102
431110100323110
5424143303040
634100325232
75352001442
oct1524207324
9516351142
10223416020
11105126843
12629a3818
1337395539
1421959b92
1514932515
hexd510ed4

223416020 has 48 divisors (see below), whose sum is σ = 491097600. Its totient is φ = 85214976.

The previous prime is 223416013. The next prime is 223416031. The reversal of 223416020 is 20614322.

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 = 223415983 and 223416001.

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 15 ways as a sum of consecutive naturals, for example, 212456 + ... + 213504.

It is an arithmetic number, because the mean of its divisors is an integer number (10231200).

Almost surely, 2223416020 is an apocalyptic number.

223416020 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 223416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245548800).

223416020 is an abundant number, since it is smaller than the sum of its proper divisors (267681580).

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

223416020 is a wasteful number, since it uses less digits than its factorization.

223416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 223416020 is about 14947.1074124728. The cubic root of 223416020 is about 606.7895650599.

The spelling of 223416020 in words is "two hundred twenty-three million, four hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 463 926 1049 1852 2098 2315 4196 4630 5245 9260 10490 10649 20980 21298 24127 42596 48254 53245 96508 106490 120635 212980 241270 482540 485687 971374 1942748 2428435 4856870 9713740 11170801 22341602 44683204 55854005 111708010 223416020