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226232784 = 24332322769
BaseRepresentation
bin11010111110000…
…00100111010000
3120202200211001000
431133000213100
5430403422114
634240542000
75414642541
oct1537004720
9522624030
10226232784
11106780048
1263921900
1337b4066b
14220904c8
1514cdbe09
hexd7c09d0

226232784 has 80 divisors (see below), whose sum is σ = 677635200. Its totient is φ = 72129024.

The previous prime is 226232707. The next prime is 226232789. The reversal of 226232784 is 487232622.

It is a happy number.

226232784 is a `hidden beast` number, since 2 + 2 + 623 + 27 + 8 + 4 = 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226232789) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1449 + ... + 21320.

It is an arithmetic number, because the mean of its divisors is an integer number (8470440).

Almost surely, 2226232784 is an apocalyptic number.

226232784 is a gapful number since it is divisible by the number (24) 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 226232784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338817600).

226232784 is an abundant number, since it is smaller than the sum of its proper divisors (451402416).

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

226232784 is a wasteful number, since it uses less digits than its factorization.

226232784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22809 (or 22797 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 226232784 is about 15041.0366664004. The cubic root of 226232784 is about 609.3289979001.

The spelling of 226232784 in words is "two hundred twenty-six million, two hundred thirty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 22769 45538 68307 91076 136614 182152 204921 273228 364304 409842 523687 546456 614763 819684 1047374 1092912 1229526 1571061 1639368 2094748 2459052 3142122 3278736 4189496 4713183 4918104 6284244 8378992 9426366 9836208 12568488 14139549 18852732 25136976 28279098 37705464 56558196 75410928 113116392 226232784