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226506360 = 233510917317
BaseRepresentation
bin11011000000000…
…11011001111000
3120210012201022110
431200003121320
5430441200420
634250452320
75420162253
oct1540033170
9523181273
10226506360
11106947643
1263a340a0
1337c08042
142212209a
1514d42ee0
hexd803678

226506360 has 64 divisors (see below), whose sum is σ = 685792800. Its totient is φ = 59844096.

The previous prime is 226506331. The next prime is 226506361. The reversal of 226506360 is 63605622.

226506360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2265063602 = 102610262240899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226506361) 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, 4422 + ... + 21738.

Almost surely, 2226506360 is an apocalyptic number.

226506360 is a gapful number since it is divisible by the number (20) 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 226506360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342896400).

226506360 is an abundant number, since it is smaller than the sum of its proper divisors (459286440).

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

226506360 is a wasteful number, since it uses less digits than its factorization.

226506360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17440 (or 17436 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 226506360 is about 15050.1282386563. The cubic root of 226506360 is about 609.5745129223.

The spelling of 226506360 in words is "two hundred twenty-six million, five hundred six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 17317 34634 51951 69268 86585 103902 138536 173170 207804 259755 346340 415608 519510 692680 1039020 1887553 2078040 3775106 5662659 7550212 9437765 11325318 15100424 18875530 22650636 28313295 37751060 45301272 56626590 75502120 113253180 226506360