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1305252220 = 225417920149
BaseRepresentation
bin100110111001100…
…1001000101111100
310100222001200102211
41031303021011330
510133121032340
6333304030204
744226314026
oct11563110574
93328050384
101305252220
1160a865348
12305162364
1317a5567bc
14c54cb016
15798cb5ea
hex4dcc917c

1305252220 has 48 divisors (see below), whose sum is σ = 2843568000. Its totient is φ = 502894080.

The previous prime is 1305252217. The next prime is 1305252239. The reversal of 1305252220 is 222525031.

It is a junction number, because it is equal to n+sod(n) for n = 1305252191 and 1305252200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54706 + ... + 74854.

It is an arithmetic number, because the mean of its divisors is an integer number (59241000).

Almost surely, 21305252220 is an apocalyptic number.

1305252220 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 1305252220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784000).

1305252220 is an abundant number, since it is smaller than the sum of its proper divisors (1538315780).

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

1305252220 is a wasteful number, since it uses less digits than its factorization.

1305252220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20278 (or 20276 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1305252220 is about 36128.2745228720. The cubic root of 1305252220 is about 1092.8607120547.

Adding to 1305252220 its reverse (222525031), we get a palindrome (1527777251).

The spelling of 1305252220 in words is "one billion, three hundred five million, two hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 205 316 395 410 790 820 1580 3239 6478 12956 16195 20149 32390 40298 64780 80596 100745 201490 402980 826109 1591771 1652218 3183542 3304436 4130545 6367084 7958855 8261090 15917710 16522180 31835420 65262611 130525222 261050444 326313055 652626110 1305252220