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223378220 = 225133672341
BaseRepresentation
bin11010101000001…
…11101100101100
3120120022210022102
431110013230230
5424141100340
634055434232
75351453312
oct1524075454
9516283272
10223378220
111051003aa
1262985978
1337381280
142194a0b2
1514926215
hexd507b2c

223378220 has 48 divisors (see below), whose sum is σ = 506771328. Its totient is φ = 82218240.

The previous prime is 223378153. The next prime is 223378223. The reversal of 223378220 is 22873322.

223378220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223378223) 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, 94250 + ... + 96590.

It is an arithmetic number, because the mean of its divisors is an integer number (10557736).

Almost surely, 2223378220 is an apocalyptic number.

223378220 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 223378220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253385664).

223378220 is an abundant number, since it is smaller than the sum of its proper divisors (283393108).

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

223378220 is a wasteful number, since it uses less digits than its factorization.

223378220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 223378220 is about 14945.8429002850. The cubic root of 223378220 is about 606.7553420004.

The spelling of 223378220 in words is "two hundred twenty-three million, three hundred seventy-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 367 734 1468 1835 2341 3670 4682 4771 7340 9364 9542 11705 19084 23410 23855 30433 46820 47710 60866 95420 121732 152165 304330 608660 859147 1718294 3436588 4295735 8591470 11168911 17182940 22337822 44675644 55844555 111689110 223378220