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54245592200 = 23524323832
BaseRepresentation
bin110010100001010010…
…100000110010001000
312012000110122121020102
4302201102200302020
51342043332422300
640530423144532
73630153632402
oct624122406210
9165013577212
1054245592200
112100724a338
12a61a8a5148
13516651c767
1428a8533b72
15162747d0d5
hexca14a0c88

54245592200 has 108 divisors (see below), whose sum is σ = 129460272885. Its totient is φ = 21138290880.

The previous prime is 54245592131. The next prime is 54245592209. The reversal of 54245592200 is 229554245.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 53160680356 + 1084911844 = 230566^2 + 32938^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=164690.

It is not an unprimeable number, because it can be changed into a prime (54245592209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141633209 + ... + 141633591.

Almost surely, 254245592200 is an apocalyptic number.

54245592200 is a gapful number since it is divisible by the number (50) 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 54245592200

54245592200 is an abundant number, since it is smaller than the sum of its proper divisors (75214680685).

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

54245592200 is an equidigital number, since it uses as much as digits as its factorization.

54245592200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 54245592200 in words is "fifty-four billion, two hundred forty-five million, five hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 383 430 766 860 1075 1532 1720 1849 1915 2150 3064 3698 3830 4300 7396 7660 8600 9245 9575 14792 15320 16469 18490 19150 32938 36980 38300 46225 65876 73960 76600 82345 92450 131752 146689 164690 184900 293378 329380 369800 411725 586756 658760 708167 733445 823450 1173512 1416334 1466890 1646900 2832668 2933780 3293800 3540835 3667225 5665336 5867560 6307627 7081670 7334450 12615254 14163340 14668900 17704175 25230508 28326680 29337800 31538135 35408350 50461016 63076270 70816700 126152540 141633400 157690675 252305080 271227961 315381350 542455922 630762700 1084911844 1261525400 1356139805 2169823688 2712279610 5424559220 6780699025 10849118440 13561398050 27122796100 54245592200