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226235568 = 2431321672
BaseRepresentation
bin11010111110000…
…01010010110000
3120202200221212010
431133001102300
5430404014233
634241002520
75414653626
oct1537012260
9522627763
10226235568
11106782149
1263923440
1337b41a00
1422091516
1514cdcb63
hexd7c14b0

226235568 has 90 divisors (see below), whose sum is σ = 636669444. Its totient is φ = 69194112.

The previous prime is 226235543. The next prime is 226235573. The reversal of 226235568 is 865532622.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1354621 + ... + 1354787.

Almost surely, 2226235568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226235568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318334722).

226235568 is an abundant number, since it is smaller than the sum of its proper divisors (410433876).

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

226235568 is a wasteful number, since it uses less digits than its factorization.

226235568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 185 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 226235568 is about 15041.1292129281. The cubic root of 226235568 is about 609.3314973389.

Multiplying 226235568 by its product of digits (172800), we get a square (39093506150400 = 62524802).

The spelling of 226235568 in words is "two hundred twenty-six million, two hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 169 208 312 334 338 501 507 624 668 676 1002 1014 1336 1352 2004 2028 2171 2672 2704 4008 4056 4342 6513 8016 8112 8684 13026 17368 26052 27889 28223 34736 52104 55778 56446 83667 84669 104208 111556 112892 167334 169338 223112 225784 334668 338676 362557 446224 451568 669336 677352 725114 1087671 1338672 1354704 1450228 2175342 2900456 4350684 4713241 5800912 8701368 9426482 14139723 17402736 18852964 28279446 37705928 56558892 75411856 113117784 226235568