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223061220 = 223251239229
BaseRepresentation
bin11010100101110…
…10010011100100
3120112201200110200
431102322103210
5424100424340
634044550500
75345663154
oct1522722344
9515650420
10223061220
11104a04218
1262852430
133729cbb5
14218a6764
15148b2330
hexd4ba4e4

223061220 has 36 divisors (see below), whose sum is σ = 676619580. Its totient is φ = 59482944.

The previous prime is 223061219. The next prime is 223061221. The reversal of 223061220 is 22160322.

223061220 is a `hidden beast` number, since 2 + 2 + 30 + 612 + 20 = 666.

223061220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223061219) and next prime (223061221).

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 139996224 = 9114^2 + 11832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223061193 and 223061202.

It is not an unprimeable number, because it can be changed into a prime (223061221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619435 + ... + 619794.

Almost surely, 2223061220 is an apocalyptic number.

223061220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223061220 is an abundant number, since it is smaller than the sum of its proper divisors (453558360).

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

223061220 is a wasteful number, since it uses less digits than its factorization.

223061220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239244 (or 1239239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223061220 is about 14935.2341796170. The cubic root of 223061220 is about 606.4681870273.

The spelling of 223061220 in words is "two hundred twenty-three million, sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1239229 2478458 3717687 4956916 6196145 7435374 11153061 12392290 14870748 18588435 22306122 24784580 37176870 44612244 55765305 74353740 111530610 223061220