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1225567530 = 233511433953
BaseRepresentation
bin100100100001100…
…1010110100101010
310011102010021121000
41021003022310222
510002221130110
6321340055430
742241103115
oct11103126452
93142107530
101225567530
1157988a030
122a2534576
13166ba6ab5
14b8aa757c
15728db1c0
hex490cad2a

1225567530 has 128 divisors (see below), whose sum is σ = 3577271040. Its totient is φ = 296110080.

The previous prime is 1225567477. The next prime is 1225567559. The reversal of 1225567530 is 357655221.

1225567530 is a `hidden beast` number, since 1 + 2 + 2 + 556 + 75 + 30 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285534 + ... + 1286486.

It is an arithmetic number, because the mean of its divisors is an integer number (27947430).

Almost surely, 21225567530 is an apocalyptic number.

1225567530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225567530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788635520).

1225567530 is an abundant number, since it is smaller than the sum of its proper divisors (2351703510).

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

1225567530 is a wasteful number, since it uses less digits than its factorization.

1225567530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1225567530 is about 35008.1066326073. The cubic root of 1225567530 is about 1070.1526931478.

The spelling of 1225567530 in words is "one billion, two hundred twenty-five million, five hundred sixty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 433 495 594 866 953 990 1299 1485 1906 2165 2598 2859 2970 3897 4330 4763 4765 5718 6495 7794 8577 9526 9530 10483 11691 12990 14289 14295 17154 19485 20966 23382 23815 25731 28578 28590 31449 38970 42867 42885 47630 51462 52415 58455 62898 71445 85734 85770 94347 104830 116910 128601 128655 142890 157245 188694 214335 257202 257310 283041 314490 412649 428670 471735 566082 643005 825298 943470 1237947 1286010 1415205 2063245 2475894 2830410 3713841 4126490 4539139 6189735 7427682 9078278 11141523 12379470 13617417 18569205 22283046 22695695 27234834 37138410 40852251 45391390 55707615 68087085 81704502 111415230 122556753 136174170 204261255 245113506 408522510 612783765 1225567530