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226333536 = 253111316487
BaseRepresentation
bin11010111110110…
…01001101100000
3120202212221020120
431133121031200
5430420133121
634243040240
75415542352
oct1537311540
9522787216
10226333536
11106839810
1263970080
1337b77490
14220b90d2
1514d0bbc6
hexd7d9360

226333536 has 96 divisors (see below), whose sum is σ = 698035968. Its totient is φ = 63306240.

The previous prime is 226333531. The next prime is 226333537. The reversal of 226333536 is 635333622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 226333497 and 226333506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226333531) 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, 5485 + ... + 21971.

It is an arithmetic number, because the mean of its divisors is an integer number (7271208).

Almost surely, 2226333536 is an apocalyptic number.

226333536 is a gapful number since it is divisible by the number (26) 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 226333536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349017984).

226333536 is an abundant number, since it is smaller than the sum of its proper divisors (471702432).

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

226333536 is a wasteful number, since it uses less digits than its factorization.

226333536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16524 (or 16516 counting only the distinct ones).

The product of its digits is 58320, while the sum is 33.

The square root of 226333536 is about 15044.3855308218. The cubic root of 226333536 is about 609.4194386738.

The spelling of 226333536 in words is "two hundred twenty-six million, three hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 16487 32974 49461 65948 98922 131896 181357 197844 214331 263792 362714 395688 428662 527584 544071 642993 725428 791376 857324 1088142 1285986 1450856 1582752 1714648 2176284 2357641 2571972 2901712 3429296 4352568 4715282 5143944 5803424 6858592 7072923 8705136 9430564 10287888 14145846 17410272 18861128 20575776 28291692 37722256 56583384 75444512 113166768 226333536