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145748220 = 223515116087
BaseRepresentation
bin10001010111111…
…11000011111100
3101011020202222020
420223333003330
5244302420340
622243520140
73416560632
oct1053770374
9334222866
10145748220
11752a8882
1240989050
1324270867
14154dd352
15cbde9d0
hex8aff0fc

145748220 has 48 divisors (see below), whose sum is σ = 410823168. Its totient is φ = 38606400.

The previous prime is 145748219. The next prime is 145748227. The reversal of 145748220 is 22847541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145748227) by changing a digit.

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, 1017 + ... + 17103.

It is an arithmetic number, because the mean of its divisors is an integer number (8558816).

Almost surely, 2145748220 is an apocalyptic number.

145748220 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 145748220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205411584).

145748220 is an abundant number, since it is smaller than the sum of its proper divisors (265074948).

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

145748220 is a wasteful number, since it uses less digits than its factorization.

145748220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250 (or 16248 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 145748220 is about 12072.6227473569. The cubic root of 145748220 is about 526.2608786538.

The spelling of 145748220 in words is "one hundred forty-five million, seven hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 16087 32174 48261 64348 80435 96522 160870 193044 241305 321740 482610 965220 2429137 4858274 7287411 9716548 12145685 14574822 24291370 29149644 36437055 48582740 72874110 145748220