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12225514300 = 22521723312673
BaseRepresentation
bin10110110001011001…
…01000101100111100
31011120000110110210221
423120230220230330
5200014212424200
65341043111124
7611650104556
oct133054505474
934500413727
1012225514300
115203a9092a
1224523724a4
1311caab313c
1483d9624d6
154b846991a
hex2d8b28b3c

12225514300 has 72 divisors (see below), whose sum is σ = 29311311456. Its totient is φ = 4402421760.

The previous prime is 12225514289. The next prime is 12225514303. The reversal of 12225514300 is 341552221.

12225514300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225514303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117237 + ... + 195436.

It is an arithmetic number, because the mean of its divisors is an integer number (407101548).

Almost surely, 212225514300 is an apocalyptic number.

12225514300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12225514300 is an abundant number, since it is smaller than the sum of its proper divisors (17085797156).

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

12225514300 is a wasteful number, since it uses less digits than its factorization.

12225514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312727 (or 312720 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 12225514300 in words is "twelve billion, two hundred twenty-five million, five hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 575 782 850 1150 1564 1700 1955 2300 3910 7820 9775 19550 39100 312673 625346 1250692 1563365 3126730 5315441 6253460 7191479 7816825 10630882 14382958 15633650 21261764 26577205 28765916 31267300 35957395 53154410 71914790 106308820 122255143 132886025 143829580 179786975 244510286 265772050 359573950 489020572 531544100 611275715 719147900 1222551430 2445102860 3056378575 6112757150 12225514300