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13225586000 = 2453113111933
BaseRepresentation
bin11000101000100111…
…00110110101010000
31021010201021101021112
430110103212311100
5204041222223000
610024210112452
7645512424524
oct142423466520
937121241245
1013225586000
115677553570
12269127b728
13132a046b43
148d66cbd84
15526162235
hex3144e6d50

13225586000 has 160 divisors (see below), whose sum is σ = 35016973056. Its totient is φ = 4791360000.

The previous prime is 13225585993. The next prime is 13225586021. The reversal of 13225586000 is 68552231.

It is a super-2 number, since 2×132255860002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 6841034 + ... + 6842966.

Almost surely, 213225586000 is an apocalyptic number.

13225586000 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 13225586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17508486528).

13225586000 is an abundant number, since it is smaller than the sum of its proper divisors (21791387056).

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

13225586000 is a wasteful number, since it uses less digits than its factorization.

13225586000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 13225586000 in words is "thirteen billion, two hundred twenty-five million, five hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 311 400 440 500 550 622 880 1000 1100 1244 1375 1555 1933 2000 2200 2488 2750 3110 3421 3866 4400 4976 5500 6220 6842 7732 7775 9665 11000 12440 13684 15464 15550 17105 19330 21263 22000 24880 27368 30928 31100 34210 38660 38875 42526 48325 54736 62200 68420 77320 77750 85052 85525 96650 106315 124400 136840 154640 155500 170104 171050 193300 212630 241625 273680 311000 340208 342100 386600 425260 427625 483250 531575 601163 622000 684200 773200 850520 855250 966500 1063150 1202326 1368400 1701040 1710500 1933000 2126300 2404652 2657875 3005815 3421000 3866000 4252600 4809304 5315750 6011630 6612793 6842000 8505200 9618608 10631500 12023260 13225586 15029075 21263000 24046520 26451172 30058150 33063965 42526000 48093040 52902344 60116300 66127930 75145375 105804688 120232600 132255860 150290750 165319825 240465200 264511720 300581500 330639650 529023440 601163000 661279300 826599125 1202326000 1322558600 1653198250 2645117200 3306396500 6612793000 13225586000