Search a number
-
+
223604980 = 22541389701
BaseRepresentation
bin11010101001111…
…11000011110100
3120120202022100221
431110333003310
5424220324410
634104344124
75353416364
oct1524770364
9516668327
10223604980
11105245805
1262a75044
1337430551
14219a89a4
151496d4da
hexd53f0f4

223604980 has 48 divisors (see below), whose sum is σ = 482947920. Its totient is φ = 86912000.

The previous prime is 223604971. The next prime is 223604981. The reversal of 223604980 is 89406322.

It can be written as a sum of positive squares in 8 ways, for example, as 18198756 + 205406224 = 4266^2 + 14332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223604981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318630 + ... + 319330.

It is an arithmetic number, because the mean of its divisors is an integer number (10061415).

Almost surely, 2223604980 is an apocalyptic number.

223604980 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 223604980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241473960).

223604980 is an abundant number, since it is smaller than the sum of its proper divisors (259342940).

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

223604980 is a wasteful number, since it uses less digits than its factorization.

223604980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 223604980 is about 14953.4270319549. The cubic root of 223604980 is about 606.9605862876.

The spelling of 223604980 in words is "two hundred twenty-three million, six hundred four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 389 410 701 778 820 1402 1556 1945 2804 3505 3890 7010 7780 14020 15949 28741 31898 57482 63796 79745 114964 143705 159490 272689 287410 318980 545378 574820 1090756 1363445 2726890 5453780 11180249 22360498 44720996 55901245 111802490 223604980