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145524220 = 225234753127
BaseRepresentation
bin10001010110010…
…00010111111100
3101010211101200221
420223020113330
5244223233340
622235031124
73414635602
oct1053102774
9333741627
10145524220
1175165556
124089b4a4
13241c290a
1415481872
15cb9844a
hex8ac85fc

145524220 has 96 divisors (see below), whose sum is σ = 334430208. Its totient is φ = 53044992.

The previous prime is 145524209. The next prime is 145524221. The reversal of 145524220 is 22425541.

145524220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145524221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145797 + ... + 1145923.

It is an arithmetic number, because the mean of its divisors is an integer number (3483648).

Almost surely, 2145524220 is an apocalyptic number.

145524220 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 145524220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

145524220 is an abundant number, since it is smaller than the sum of its proper divisors (188905988).

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

145524220 is a wasteful number, since it uses less digits than its factorization.

145524220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 145524220 is about 12063.3419913389. The cubic root of 145524220 is about 525.9911374990.

Adding to 145524220 its reverse (22425541), we get a palindrome (167949761).

The spelling of 145524220 in words is "one hundred forty-five million, five hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 53 92 94 106 115 127 188 212 230 235 254 265 460 470 508 530 635 940 1060 1081 1219 1270 2162 2438 2491 2540 2921 4324 4876 4982 5405 5842 5969 6095 6731 9964 10810 11684 11938 12190 12455 13462 14605 21620 23876 24380 24910 26924 29210 29845 33655 49820 57293 58420 59690 67310 114586 119380 134620 137287 154813 229172 274574 286465 309626 316357 549148 572930 619252 632714 686435 774065 1145860 1265428 1372870 1548130 1581785 2745740 3096260 3163570 6327140 7276211 14552422 29104844 36381055 72762110 145524220