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5055222300 = 22352127277479
BaseRepresentation
bin1001011010101000…
…01001001000011100
3111001022021220022120
410231110021020130
540323114103200
62153342542540
7236162452302
oct45524111034
914038256276
105055222300
1121645a5377
12b90b97a50
13627424ccb
1435d558272
151e8c139a0
hex12d50921c

5055222300 has 144 divisors (see below), whose sum is σ = 14825717760. Its totient is φ = 1329834240.

The previous prime is 5055222283. The next prime is 5055222329. The reversal of 5055222300 is 32225505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10553461 + ... + 10553939.

Almost surely, 25055222300 is an apocalyptic number.

5055222300 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 5055222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412858880).

5055222300 is an abundant number, since it is smaller than the sum of its proper divisors (9770495460).

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

5055222300 is a wasteful number, since it uses less digits than its factorization.

5055222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 5055222300 is about 71100.0864978377. The cubic root of 5055222300 is about 1716.2481655966.

Adding to 5055222300 its reverse (32225505), we get a palindrome (5087447805).

The spelling of 5055222300 in words is "five billion, fifty-five million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 277 300 381 479 508 554 635 762 831 958 1108 1270 1385 1437 1524 1662 1905 1916 2395 2540 2770 2874 3175 3324 3810 4155 4790 5540 5748 6350 6925 7185 7620 8310 9525 9580 11975 12700 13850 14370 16620 19050 20775 23950 27700 28740 35179 35925 38100 41550 47900 60833 70358 71850 83100 105537 121666 132683 140716 143700 175895 182499 211074 243332 265366 304165 351790 364998 398049 422148 527685 530732 608330 663415 703580 729996 796098 879475 912495 1055370 1216660 1326830 1520825 1592196 1758950 1824990 1990245 2110740 2638425 2653660 3041650 3317075 3517900 3649980 3980490 4562475 5276850 6083300 6634150 7960980 9124950 9951225 10553700 13268300 16850741 18249900 19902450 33701482 39804900 50552223 67402964 84253705 101104446 168507410 202208892 252761115 337014820 421268525 505522230 842537050 1011044460 1263805575 1685074100 2527611150 5055222300