Search a number
-
+
223010620 = 22577321821
BaseRepresentation
bin11010100101011…
…01111100111100
3120112122010001121
431102231330330
5424042314440
634043520324
75345362510
oct1522557474
9515563047
10223010620
1110497a1a8
12628290a4
1337282b61
1421892140
15148a234a
hexd4adf3c

223010620 has 48 divisors (see below), whose sum is σ = 542582208. Its totient is φ = 75409920.

The previous prime is 223010617. The next prime is 223010677. The reversal of 223010620 is 26010322.

It is a junction number, because it is equal to n+sod(n) for n = 223010594 and 223010603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691 + ... + 21130.

It is an arithmetic number, because the mean of its divisors is an integer number (11303796).

Almost surely, 2223010620 is an apocalyptic number.

223010620 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 223010620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271291104).

223010620 is an abundant number, since it is smaller than the sum of its proper divisors (319571588).

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

223010620 is a wasteful number, since it uses less digits than its factorization.

223010620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21910 (or 21908 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223010620 is about 14933.5401027352. The cubic root of 223010620 is about 606.4223257596.

Adding to 223010620 its reverse (26010322), we get a palindrome (249020942).

The spelling of 223010620 in words is "two hundred twenty-three million, ten thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 21821 43642 87284 109105 152747 218210 305494 436420 610988 763735 1527470 1592933 3054940 3185866 6371732 7964665 11150531 15929330 22301062 31858660 44602124 55752655 111505310 223010620