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149226 = 237111719
BaseRepresentation
bin100100011011101010
321120200220
4210123222
514233401
63110510
71161030
oct443352
9246626
10149226
11a2130
1272436
1352bcc
143c550
152e336
hex246ea

149226 has 64 divisors (see below), whose sum is σ = 414720. Its totient is φ = 34560.

The previous prime is 149213. The next prime is 149239. The reversal of 149226 is 622941.

149226 = 12 + 22 + ... + 762.

149226 is digitally balanced in base 2, 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 (149213) and next prime (149239).

It is a junction number, because it is equal to n+sod(n) for n = 149196 and 149205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149226.

It is an unprimeable number.

149226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7845 + ... + 7863.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2149226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

149226 is an abundant number, since it is smaller than the sum of its proper divisors (265494).

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

149226 is a wasteful number, since it uses less digits than its factorization.

149226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59.

The product of its digits is 864, while the sum is 24.

The square root of 149226 is about 386.2978125747. The cubic root of 149226 is about 53.0413821816.

The spelling of 149226 in words is "one hundred forty-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 17 19 21 22 33 34 38 42 51 57 66 77 102 114 119 133 154 187 209 231 238 266 323 357 374 399 418 462 561 627 646 714 798 969 1122 1254 1309 1463 1938 2261 2618 2926 3553 3927 4389 4522 6783 7106 7854 8778 10659 13566 21318 24871 49742 74613 149226