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12227045540 = 22529591033469
BaseRepresentation
bin10110110001100100…
…11110100010100100
31011120010100021021112
423120302132202210
5200020110424130
65341140004152
7611666113043
oct133062364244
934503307245
1012227045540
115204937316
122452990658
1311cb1cb0b8
1483dc4055a
154b866d495
hex2d8c9e8a4

12227045540 has 96 divisors (see below), whose sum is σ = 27282528000. Its totient is φ = 4595738112.

The previous prime is 12227045533. The next prime is 12227045573. The reversal of 12227045540 is 4554072221.

It is a junction number, because it is equal to n+sod(n) for n = 12227045497 and 12227045506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3522926 + ... + 3526394.

It is an arithmetic number, because the mean of its divisors is an integer number (284193000).

Almost surely, 212227045540 is an apocalyptic number.

12227045540 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 12227045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13641264000).

12227045540 is an abundant number, since it is smaller than the sum of its proper divisors (15055482460).

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

12227045540 is a wasteful number, since it uses less digits than its factorization.

12227045540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The spelling of 12227045540 in words is "twelve billion, two hundred twenty-seven million, forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 103 116 118 145 206 236 290 295 412 515 580 590 1030 1180 1711 2060 2987 3422 3469 5974 6077 6844 6938 8555 11948 12154 13876 14935 17110 17345 24308 29870 30385 34220 34690 59740 60770 69380 100601 121540 176233 201202 204671 352466 357307 402404 409342 503005 704932 714614 818684 881165 1006010 1023355 1429228 1762330 1786535 2012020 2046710 3524660 3573070 4093420 5935459 7146140 10361903 11870918 20723806 21081113 23741836 29677295 41447612 42162226 51809515 59354590 84324452 103619030 105405565 118709180 207238060 210811130 421622260 611352277 1222704554 2445409108 3056761385 6113522770 12227045540