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226000350 = 232522691867
BaseRepresentation
bin11010111100001…
…11110111011110
3120202021000012100
431132013313132
5430324002400
634231545530
75412654102
oct1536076736
9522230170
10226000350
11106631454
126382b2a6
1337a8b924
142202d902
1514c93100
hexd787dde

226000350 has 72 divisors (see below), whose sum is σ = 609771240. Its totient is φ = 60010560.

The previous prime is 226000337. The next prime is 226000351. The reversal of 226000350 is 53000622.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226000351) 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 35 ways as a sum of consecutive naturals, for example, 120117 + ... + 121983.

It is an arithmetic number, because the mean of its divisors is an integer number (8469045).

Almost surely, 2226000350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226000350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304885620).

226000350 is an abundant number, since it is smaller than the sum of its proper divisors (383770890).

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

226000350 is a wasteful number, since it uses less digits than its factorization.

226000350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 226000350 is about 15033.3080191952. The cubic root of 226000350 is about 609.1202493343.

Adding to 226000350 its reverse (53000622), we get a palindrome (279000972).

The spelling of 226000350 in words is "two hundred twenty-six million, three hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 269 450 538 807 1345 1614 1867 2421 2690 3734 4035 4842 5601 6725 8070 9335 11202 12105 13450 16803 18670 20175 24210 28005 33606 40350 46675 56010 60525 84015 93350 121050 140025 168030 280050 420075 502223 840150 1004446 1506669 2511115 3013338 4520007 5022230 7533345 9040014 12555575 15066690 22600035 25111150 37666725 45200070 75333450 113000175 226000350