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226604020 = 22561281661
BaseRepresentation
bin11011000000110…
…11001111110100
3120210101200021111
431200123033310
5431002312040
634252524404
75421050056
oct1540331764
9523350244
10226604020
11106a03a55
1263a80704
1337c40626
14221498d6
1514d61dea
hexd81b3f4

226604020 has 48 divisors (see below), whose sum is σ = 486125136. Its totient is φ = 88704000.

The previous prime is 226604009. The next prime is 226604029. The reversal of 226604020 is 20406622.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3579664 + 223024356 = 1892^2 + 14934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 226603982 and 226604000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226604029) 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, 342490 + ... + 343150.

It is an arithmetic number, because the mean of its divisors is an integer number (10127607).

Almost surely, 2226604020 is an apocalyptic number.

226604020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226604020 is an abundant number, since it is smaller than the sum of its proper divisors (259521116).

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

226604020 is a wasteful number, since it uses less digits than its factorization.

226604020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 226604020 is about 15053.3723796364. The cubic root of 226604020 is about 609.6621079509.

The spelling of 226604020 in words is "two hundred twenty-six million, six hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 281 305 562 610 661 1124 1220 1322 1405 2644 2810 3305 5620 6610 13220 17141 34282 40321 68564 80642 85705 161284 171410 185741 201605 342820 371482 403210 742964 806420 928705 1857410 3714820 11330201 22660402 45320804 56651005 113302010 226604020