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226466262 = 232112103979
BaseRepresentation
bin11010111111110…
…01100111010110
3120210010200022100
431133321213112
5430433410022
634245542530
75416634331
oct1537714726
9523120270
10226466262
1110691a500
1263a14a46
1337bc2a09
1422111618
1514d361ac
hexd7f99d6

226466262 has 36 divisors (see below), whose sum is σ = 539344260. Its totient is φ = 68625480.

The previous prime is 226466243. The next prime is 226466269. The reversal of 226466262 is 262664622.

It is a happy number.

226466262 is a `hidden beast` number, since 2 + 2 + 646 + 6 + 2 + 6 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226466269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49812 + ... + 54167.

It is an arithmetic number, because the mean of its divisors is an integer number (14981785).

Almost surely, 2226466262 is an apocalyptic number.

226466262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

226466262 is an abundant number, since it is smaller than the sum of its proper divisors (312877998).

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

226466262 is a wasteful number, since it uses less digits than its factorization.

226466262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104009 (or 103995 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 226466262 is about 15048.7960315767. The cubic root of 226466262 is about 609.5385401851.

The spelling of 226466262 in words is "two hundred twenty-six million, four hundred sixty-six thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 103979 207958 311937 623874 935811 1143769 1871622 2287538 3431307 6862614 10293921 12581459 20587842 25162918 37744377 75488754 113233131 226466262