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223201620 = 223251240009
BaseRepresentation
bin11010100110111…
…00100101010100
3120112222211001200
431103130211110
5424114422440
634051552500
75350116405
oct1523344524
9515884050
10223201620
11104a9a754
12628bb730
133731ba85
14219019ac
15148ddc30
hexd4dc954

223201620 has 36 divisors (see below), whose sum is σ = 677045460. Its totient is φ = 59520384.

The previous prime is 223201571. The next prime is 223201621. The reversal of 223201620 is 26102322.

223201620 is a `hidden beast` number, since 2 + 23 + 20 + 1 + 620 = 666.

223201620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59259204 + 163942416 = 7698^2 + 12804^2 .

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

It is a super-3 number, since 3×2232016203 (a number of 26 digits) contains 333 as substring.

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 = 223201593 and 223201602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223201621) 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, 619825 + ... + 620184.

Almost surely, 2223201620 is an apocalyptic number.

223201620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223201620 is an abundant number, since it is smaller than the sum of its proper divisors (453843840).

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

223201620 is a wasteful number, since it uses less digits than its factorization.

223201620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240024 (or 1240019 counting only the distinct ones).

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

The square root of 223201620 is about 14939.9337347928. The cubic root of 223201620 is about 606.5954021403.

Adding to 223201620 its reverse (26102322), we get a palindrome (249303942).

It can be divided in two parts, 2232016 and 20, that added together give a square (2232036 = 14942).

The spelling of 223201620 in words is "two hundred twenty-three million, two hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1240009 2480018 3720027 4960036 6200045 7440054 11160081 12400090 14880108 18600135 22320162 24800180 37200270 44640324 55800405 74400540 111600810 223201620