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226223790 = 235132512311
BaseRepresentation
bin11010111101111…
…10011010101110
3120202200100200220
431132332122232
5430403130130
634240432210
75414604402
oct1536763256
9522610626
10226223790
11106774311
1263918666
1337b39540
142208b102
1514cd9410
hexd7be6ae

226223790 has 64 divisors (see below), whose sum is σ = 587284992. Its totient is φ = 55440000.

The previous prime is 226223779. The next prime is 226223819. The reversal of 226223790 is 97322622.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 96735 + ... + 99045.

It is an arithmetic number, because the mean of its divisors is an integer number (9176328).

Almost surely, 2226223790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226223790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293642496).

226223790 is an abundant number, since it is smaller than the sum of its proper divisors (361061202).

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

226223790 is a wasteful number, since it uses less digits than its factorization.

226223790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 226223790 is about 15040.7376813772. The cubic root of 226223790 is about 609.3209230645.

The spelling of 226223790 in words is "two hundred twenty-six million, two hundred twenty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 251 390 502 753 1255 1506 2311 2510 3263 3765 4622 6526 6933 7530 9789 11555 13866 16315 19578 23110 30043 32630 34665 48945 60086 69330 90129 97890 150215 180258 300430 450645 580061 901290 1160122 1740183 2900305 3480366 5800610 7540793 8700915 15081586 17401830 22622379 37703965 45244758 75407930 113111895 226223790