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226342452 = 223761163271
BaseRepresentation
bin11010111110110…
…11011000110100
3120202220101110210
431133123120310
5430420424302
634243145420
75415610350
oct1537333064
9522811423
10226342452
11106845486
1263975270
1337b7b55b
14220bc460
1514d0e66c
hexd7db634

226342452 has 96 divisors (see below), whose sum is σ = 619515904. Its totient is φ = 62985600.

The previous prime is 226342451. The next prime is 226342453. The reversal of 226342452 is 254243622.

226342452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226342451) and next prime (226342453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226342451) 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 31 ways as a sum of consecutive naturals, for example, 835077 + ... + 835347.

Almost surely, 2226342452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226342452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309757952).

226342452 is an abundant number, since it is smaller than the sum of its proper divisors (393173452).

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

226342452 is a wasteful number, since it uses less digits than its factorization.

226342452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 226342452 is about 15044.6818510728. The cubic root of 226342452 is about 609.4274408939.

The spelling of 226342452 in words is "two hundred twenty-six million, three hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 163 183 244 271 326 366 427 489 542 652 732 813 854 978 1084 1141 1281 1626 1708 1897 1956 2282 2562 3252 3423 3794 4564 5124 5691 6846 7588 9943 11382 13692 16531 19886 22764 29829 33062 39772 44173 49593 59658 66124 69601 88346 99186 115717 119316 132519 139202 176692 198372 208803 231434 265038 278404 309211 347151 417606 462868 530076 618422 694302 835212 927633 1236844 1388604 1855266 2694553 3710532 5389106 8083659 10778212 16167318 18861871 32334636 37723742 56585613 75447484 113171226 226342452