Search a number
-
+
145201212 = 223213449691
BaseRepresentation
bin10001010011110…
…01100000111100
3101010012222121200
420221321200330
5244132414322
622224055500
73412122102
oct1051714074
9333188550
10145201212
1174a64902
1240764590
132410b8a0
14153d9c72
15cb328ac
hex8a7983c

145201212 has 72 divisors (see below), whose sum is σ = 396723600. Its totient is φ = 44513280.

The previous prime is 145201193. The next prime is 145201229. The reversal of 145201212 is 212102541.

145201212 is a `hidden beast` number, since 1 + 452 + 0 + 1 + 212 = 666.

145201212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 209787 + ... + 210477.

It is an arithmetic number, because the mean of its divisors is an integer number (5510050).

Almost surely, 2145201212 is an apocalyptic number.

145201212 is a gapful number since it is divisible by the number (12) 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 145201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198361800).

145201212 is an abundant number, since it is smaller than the sum of its proper divisors (251522388).

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

145201212 is a wasteful number, since it uses less digits than its factorization.

145201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 145201212 is about 12049.9465558981. The cubic root of 145201212 is about 525.6016829592.

Adding to 145201212 its reverse (212102541), we get a palindrome (357303753).

The spelling of 145201212 in words is "one hundred forty-five million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 449 468 691 898 1347 1382 1796 2073 2694 2764 4041 4146 5388 5837 6219 8082 8292 8983 11674 12438 16164 17511 17966 23348 24876 26949 35022 35932 52533 53898 70044 80847 105066 107796 161694 210132 310259 323388 620518 930777 1241036 1861554 2792331 3723108 4033367 5584662 8066734 11169324 12100101 16133468 24200202 36300303 48400404 72600606 145201212