Search a number
-
+
145221000 = 2335348407
BaseRepresentation
bin10001010011111…
…10010110001000
3101010020222202120
420221332112020
5244134033000
622224331240
73412233561
oct1051762610
9333228676
10145221000
1174a78761
1240773b20
13241178b2
1415403168
15cb386a0
hex8a7e588

145221000 has 64 divisors (see below), whose sum is σ = 453098880. Its totient is φ = 38724800.

The previous prime is 145220989. The next prime is 145221001. The reversal of 145221000 is 122541.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (145221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21204 + ... + 27203.

It is an arithmetic number, because the mean of its divisors is an integer number (7079670).

Almost surely, 2145221000 is an apocalyptic number.

145221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145221000 is an abundant number, since it is smaller than the sum of its proper divisors (307877880).

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

145221000 is a wasteful number, since it uses less digits than its factorization.

145221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48431 (or 48417 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 145221000 is about 12050.7676104056. The cubic root of 145221000 is about 525.6255581816.

Adding to 145221000 its reverse (122541), we get a palindrome (145343541).

The spelling of 145221000 in words is "one hundred forty-five million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 48407 96814 145221 193628 242035 290442 387256 484070 580884 726105 968140 1161768 1210175 1452210 1936280 2420350 2904420 3630525 4840700 5808840 6050875 7261050 9681400 12101750 14522100 18152625 24203500 29044200 36305250 48407000 72610500 145221000