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149028220 = 225111315171
BaseRepresentation
bin10001110000111…
…11110101111100
3101101102102021201
420320133311330
5301122400340
622442105244
73456501415
oct1070376574
9341372251
10149028220
1177139120
1241aab224
1324b4b7a3
1415b1480c
15d13b79a
hex8e1fd7c

149028220 has 48 divisors (see below), whose sum is σ = 344082816. Its totient is φ = 53768000.

The previous prime is 149028203. The next prime is 149028233. The reversal of 149028220 is 22820941.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26235 + ... + 31405.

It is an arithmetic number, because the mean of its divisors is an integer number (7168392).

Almost surely, 2149028220 is an apocalyptic number.

149028220 is a gapful number since it is divisible by the number (10) 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 149028220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172041408).

149028220 is an abundant number, since it is smaller than the sum of its proper divisors (195054596).

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

149028220 is a wasteful number, since it uses less digits than its factorization.

149028220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 149028220 is about 12207.7114972463. The cubic root of 149028220 is about 530.1793862928.

The spelling of 149028220 in words is "one hundred forty-nine million, twenty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5171 5764 7205 10342 14410 20684 25855 28820 51710 56881 103420 113762 227524 284405 568810 677401 1137620 1354802 2709604 3387005 6774010 7451411 13548020 14902822 29805644 37257055 74514110 149028220