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153228405 = 35112274091
BaseRepresentation
bin10010010001000…
…01010001110101
3101200022210212010
421020201101311
5303211302110
623112114433
73540264021
oct1110412165
9350283763
10153228405
1179547850
1243395a19
132598c4c5
14164c9381
15d6bb020
hex9221475

153228405 has 32 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 73947200.

The previous prime is 153228391. The next prime is 153228469. The reversal of 153228405 is 504822351.

It is not a de Polignac number, because 153228405 - 213 = 153220213 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35410 + ... + 39500.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 2153228405 is an apocalyptic number.

153228405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153228405 is a deficient number, since it is larger than the sum of its proper divisors (115468683).

153228405 is a wasteful number, since it uses less digits than its factorization.

153228405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 153228405 is about 12378.5461585761. The cubic root of 153228405 is about 535.1141399117.

The spelling of 153228405 in words is "one hundred fifty-three million, two hundred twenty-eight thousand, four hundred five".

Divisors: 1 3 5 11 15 33 55 165 227 681 1135 2497 3405 4091 7491 12273 12485 20455 37455 45001 61365 135003 225005 675015 928657 2785971 4643285 10215227 13929855 30645681 51076135 153228405