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654220242 = 232136145833
BaseRepresentation
bin100110111111101…
…001101111010010
31200121000211110100
4212333221233102
52314440021432
6144530113230
722132531434
oct4677515722
91617024410
10654220242
11306321395
1216311b816
13a5700b90
1462c5c654
153c67d07c
hex26fe9bd2

654220242 has 48 divisors (see below), whose sum is σ = 1551572568. Its totient is φ = 197994240.

The previous prime is 654220241. The next prime is 654220243. The reversal of 654220242 is 242022456.

It is a happy number.

654220242 is a `hidden beast` number, since 654 + 2 + 2 + 0 + 2 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (654220241) and next prime (654220243).

It can be written as a sum of positive squares in 4 ways, for example, as 304118721 + 350101521 = 17439^2 + 18711^2 .

It is not an unprimeable number, because it can be changed into a prime (654220241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8643 + ... + 37190.

Almost surely, 2654220242 is an apocalyptic number.

654220242 is an abundant number, since it is smaller than the sum of its proper divisors (897352326).

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

654220242 is a wasteful number, since it uses less digits than its factorization.

654220242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45915 (or 45912 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 654220242 is about 25577.7294144731. The cubic root of 654220242 is about 868.1098003269.

Adding to 654220242 its reverse (242022456), we get a palindrome (896242698).

The spelling of 654220242 in words is "six hundred fifty-four million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 14274 45833 91666 137499 274998 412497 595829 824994 1191658 1787487 2795813 3574974 5362461 5591626 8387439 10724922 16774878 25162317 36345569 50324634 72691138 109036707 218073414 327110121 654220242