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1225440580 = 2257131739607
BaseRepresentation
bin100100100001010…
…1011110101000100
310011101212211110011
41021002223311010
510002203044310
6321333240004
742240034030
oct11102536504
93141784404
101225440580
11579802711
122a2493004
13166b61090
14b8a731c0
15728b378a
hex490abd44

1225440580 has 96 divisors (see below), whose sum is σ = 3353688576. Its totient is φ = 365008896.

The previous prime is 1225440577. The next prime is 1225440581. The reversal of 1225440580 is 850445221.

It is a super-2 number, since 2×12254405802 = 3003409230221472800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1225440581) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11137 + ... + 50743.

It is an arithmetic number, because the mean of its divisors is an integer number (34934256).

Almost surely, 21225440580 is an apocalyptic number.

1225440580 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 1225440580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676844288).

1225440580 is an abundant number, since it is smaller than the sum of its proper divisors (2128247996).

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

1225440580 is a wasteful number, since it uses less digits than its factorization.

1225440580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39653 (or 39651 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 1225440580 is about 35006.2934341812. The cubic root of 1225440580 is about 1070.1157414031.

The spelling of 1225440580 in words is "one billion, two hundred twenty-five million, four hundred forty thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 7735 15470 30940 39607 79214 158428 198035 277249 396070 514891 554498 673319 792140 1029782 1108996 1346638 1386245 2059564 2574455 2693276 2772490 3366595 3604237 4713233 5148910 5544980 6733190 7208474 8753147 9426466 10297820 13466380 14416948 17506294 18021185 18852932 23566165 35012588 36042370 43765735 47132330 61272029 72084740 87531470 94264660 122544058 175062940 245088116 306360145 612720290 1225440580