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146075220 = 223251747737
BaseRepresentation
bin10001011010011…
…10111001010100
3101011212101112100
420231032321110
5244343401340
622254522100
73422422164
oct1055167124
9334771470
10146075220
1175501525
1240b06330
1324356655
14155865a4
15cc56830
hex8b4ee54

146075220 has 72 divisors (see below), whose sum is σ = 469169064. Its totient is φ = 36661248.

The previous prime is 146075191. The next prime is 146075227. The reversal of 146075220 is 22570641.

146075220 is a `hidden beast` number, since 1 + 4 + 607 + 52 + 2 + 0 = 666.

146075220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5225796 + 140849424 = 2286^2 + 11868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146075227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20809 + ... + 26928.

It is an arithmetic number, because the mean of its divisors is an integer number (6516237).

Almost surely, 2146075220 is an apocalyptic number.

146075220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146075220 is an abundant number, since it is smaller than the sum of its proper divisors (323093844).

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

146075220 is a wasteful number, since it uses less digits than its factorization.

146075220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47769 (or 47764 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 146075220 is about 12086.1581985344. The cubic root of 146075220 is about 526.6541568002.

The spelling of 146075220 in words is "one hundred forty-six million, seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 47737 95474 143211 190948 238685 286422 429633 477370 572844 716055 811529 859266 954740 1432110 1623058 1718532 2148165 2434587 2864220 3246116 4057645 4296330 4869174 7303761 8115290 8592660 9738348 12172935 14607522 16230580 24345870 29215044 36518805 48691740 73037610 146075220