Search a number
-
+
2254677232000 = 2753472998241
BaseRepresentation
bin100000110011110101001…
…111000100100110000000
321222112201022222201012011
4200303311033010212000
5243420034332411000
64443441233542304
7321616001154514
oct40636517044600
97875638881164
102254677232000
1179a226577726
12304b7aa14994
131347cc641a5b
147b1ac544144
153d9b17432ba
hex20cf53c4980

2254677232000 has 128 divisors (see below), whose sum is σ = 5724963204480. Its totient is φ = 882681856000.

The previous prime is 2254677231991. The next prime is 2254677232013. The reversal of 2254677232000 is 2327764522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 747121 + ... + 2251120.

It is an arithmetic number, because the mean of its divisors is an integer number (44726275035).

Almost surely, 22254677232000 is an apocalyptic number.

2254677232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254677232000 is an abundant number, since it is smaller than the sum of its proper divisors (3470285972480).

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

2254677232000 is an equidigital number, since it uses as much as digits as its factorization.

2254677232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998317 (or 2998295 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 2254677232000 in words is "two trillion, two hundred fifty-four billion, six hundred seventy-seven million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 320 376 400 470 500 640 752 800 940 1000 1175 1504 1600 1880 2000 2350 3008 3200 3760 4000 4700 5875 6016 7520 8000 9400 11750 15040 16000 18800 23500 30080 37600 47000 75200 94000 150400 188000 376000 752000 2998241 5996482 11992964 14991205 23985928 29982410 47971856 59964820 74956025 95943712 119929640 140917327 149912050 191887424 239859280 281834654 299824100 374780125 383774848 479718560 563669308 599648200 704586635 749560250 959437120 1127338616 1199296400 1409173270 1499120500 1918874240 2254677232 2398592800 2818346540 2998241000 3522933175 4509354464 4797185600 5636693080 5996482000 7045866350 9018708928 9594371200 11273386160 11992964000 14091732700 17614665875 18037417856 22546772320 23985928000 28183465400 35229331750 45093544640 47971856000 56366930800 70458663500 90187089280 112733861600 140917327000 225467723200 281834654000 450935446400 563669308000 1127338616000 2254677232000