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645224130 = 23453721529
BaseRepresentation
bin100110011101010…
…101011011000010
31122222002210010000
4212131111123002
52310134133010
6144005220430
721663212625
oct4635253302
91588083100
10645224130
11301237491
12160101716
13a38a1235
1461999dbc
153b9a27c0
hex267556c2

645224130 has 80 divisors (see below), whose sum is σ = 1781908920. Its totient is φ = 167401728.

The previous prime is 645224089. The next prime is 645224141. The reversal of 645224130 is 31422546.

645224130 is a `hidden beast` number, since 6 + 4 + 522 + 4 + 130 = 666.

645224130 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 537915249 + 107308881 = 23193^2 + 10359^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 645224094 and 645224103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19206 + ... + 40734.

Almost surely, 2645224130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645224130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890954460).

645224130 is an abundant number, since it is smaller than the sum of its proper divisors (1136684790).

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

645224130 is a wasteful number, since it uses less digits than its factorization.

645224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585 (or 21576 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 645224130 is about 25401.2623702051. The cubic root of 645224130 is about 864.1123262526.

Adding to 645224130 its reverse (31422546), we get a palindrome (676646676).

The spelling of 645224130 in words is "six hundred forty-five million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 4995 5994 9990 14985 21529 29970 43058 64587 107645 129174 193761 215290 322935 387522 581283 645870 796573 968805 1162566 1593146 1743849 1937610 2389719 2906415 3487698 3982865 4779438 5812830 7169157 7965730 8719245 11948595 14338314 17438490 21507471 23897190 35845785 43014942 64522413 71691570 107537355 129044826 215074710 322612065 645224130