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14531520200 = 23521076191097
BaseRepresentation
bin11011000100010010…
…10110011011001000
31101111201121201012212
431202021112123020
5214230032121300
610401540524252
71023050612051
oct154211263310
941451551185
1014531520200
11618773422a
1229966b0688
1314a777bb82
149bbd15728
155a0b25935
hex3622566c8

14531520200 has 96 divisors (see below), whose sum is σ = 34187767200. Its totient is φ = 5743741440.

The previous prime is 14531520173. The next prime is 14531520203. The reversal of 14531520200 is 202513541.

It is a super-2 number, since 2×145315202002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14531520203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13246052 + ... + 13247148.

It is an arithmetic number, because the mean of its divisors is an integer number (356122575).

Almost surely, 214531520200 is an apocalyptic number.

14531520200 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 14531520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093883600).

14531520200 is an abundant number, since it is smaller than the sum of its proper divisors (19656247000).

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

14531520200 is a wasteful number, since it uses less digits than its factorization.

14531520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 14531520200 in words is "fourteen billion, five hundred thirty-one million, five hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 619 856 1070 1097 1238 2140 2194 2476 2675 3095 4280 4388 4952 5350 5485 6190 8776 10700 10970 12380 15475 21400 21940 24760 27425 30950 43880 54850 61900 66233 109700 117379 123800 132466 219400 234758 264932 331165 469516 529864 586895 662330 679043 939032 1173790 1324660 1358086 1655825 2347580 2649320 2716172 2934475 3311650 3395215 4695160 5432344 5868950 6623300 6790430 11737900 13246600 13580860 16976075 23475800 27161720 33952150 67904300 72657601 135808600 145315202 290630404 363288005 581260808 726576010 1453152020 1816440025 2906304040 3632880050 7265760100 14531520200