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225655305000 = 2335419791773
BaseRepresentation
bin1101001000101000011…
…0101011001100101000
3210120110022021012202220
43102022012223030220
512144120224230000
6251355320154040
722205643305406
oct3221206531450
9716408235686
10225655305000
118777759a604
1237897608920
1318382546218
14acc94ca476
155d0a93b1a0
hex348a1ab328

225655305000 has 160 divisors (see below), whose sum is σ = 742050592800. Its totient is φ = 57007584000.

The previous prime is 225655304989. The next prime is 225655305061. The reversal of 225655305000 is 503556522.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110887 + ... + 680886.

It is an arithmetic number, because the mean of its divisors is an integer number (4637816205).

Almost surely, 2225655305000 is an apocalyptic number.

225655305000 is a gapful number since it is divisible by the number (20) 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 225655305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371025296400).

225655305000 is an abundant number, since it is smaller than the sum of its proper divisors (516395287800).

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

225655305000 is a wasteful number, since it uses less digits than its factorization.

225655305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791821 (or 791802 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 225655305000 in words is "two hundred twenty-five billion, six hundred fifty-five million, three hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 625 750 760 950 1000 1140 1250 1425 1500 1875 1900 2280 2375 2500 2850 3000 3750 3800 4750 5000 5700 7125 7500 9500 11400 11875 14250 15000 19000 23750 28500 35625 47500 57000 71250 95000 142500 285000 791773 1583546 2375319 3167092 3958865 4750638 6334184 7917730 9501276 11876595 15043687 15835460 19002552 19794325 23753190 30087374 31670920 39588650 45131061 47506380 59382975 60174748 75218435 79177300 90262122 95012760 98971625 118765950 120349496 150436870 158354600 180524244 197943250 225655305 237531900 296914875 300873740 361048488 376092175 395886500 451310610 475063800 494858125 593829750 601747480 752184350 791773000 902621220 989716250 1128276525 1187659500 1484574375 1504368700 1805242440 1880460875 1979432500 2256553050 2375319000 2969148750 3008737400 3760921750 3958865000 4513106100 5641382625 5938297500 7521843500 9026212200 9402304375 11282765250 11876595000 15043687000 18804608750 22565530500 28206913125 37609217500 45131061000 56413826250 75218435000 112827652500 225655305000