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226350264 = 23375092647
BaseRepresentation
bin11010111110111…
…01010010111000
3120202220210012010
431133131102320
5430421202024
634243245520
75415642210
oct1537352270
9522823163
10226350264
11106850338
12639798a0
1337b81c8a
14220c1240
1514d11b29
hexd7dd4b8

226350264 has 64 divisors (see below), whose sum is σ = 648230400. Its totient is φ = 64520064.

The previous prime is 226350263. The next prime is 226350269. The reversal of 226350264 is 462053622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226350263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84189 + ... + 86835.

It is an arithmetic number, because the mean of its divisors is an integer number (10128600).

Almost surely, 2226350264 is an apocalyptic number.

226350264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226350264 is an abundant number, since it is smaller than the sum of its proper divisors (421880136).

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

226350264 is a wasteful number, since it uses less digits than its factorization.

226350264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 226350264 is about 15044.9414754595. The cubic root of 226350264 is about 609.4344520878.

The spelling of 226350264 in words is "two hundred twenty-six million, three hundred fifty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 509 1018 1527 2036 2647 3054 3563 4072 5294 6108 7126 7941 10588 10689 12216 14252 15882 18529 21176 21378 28504 31764 37058 42756 55587 63528 74116 85512 111174 148232 222348 444696 1347323 2694646 4041969 5389292 8083938 9431261 10778584 16167876 18862522 28293783 32335752 37725044 56587566 75450088 113175132 226350264