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2256485000 = 23547115861
BaseRepresentation
bin1000011001111111…
…0011101010001000
312211020222022111112
42012133303222020
514110130010000
61011524145452
7106626543320
oct20637635210
95736868445
102256485000
11a587aa640
1252b838288
1329c64a733
14175982280
15d3178235
hex867f3a88

2256485000 has 160 divisors (see below), whose sum is σ = 6592639680. Its totient is φ = 703200000.

The previous prime is 2256484991. The next prime is 2256485003. The reversal of 2256485000 is 5846522.

2256485000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2256485003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382070 + ... + 387930.

It is an arithmetic number, because the mean of its divisors is an integer number (41203998).

Almost surely, 22256485000 is an apocalyptic number.

2256485000 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 2256485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296319840).

2256485000 is an abundant number, since it is smaller than the sum of its proper divisors (4336154680).

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

2256485000 is a wasteful number, since it uses less digits than its factorization.

2256485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2256485000 is about 47502.4736198022. The cubic root of 2256485000 is about 1311.6284160496.

The spelling of 2256485000 in words is "two billion, two hundred fifty-six million, four hundred eighty-five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1000 1100 1250 1375 1400 1540 1750 1925 2200 2500 2750 3080 3500 3850 4375 5000 5500 5861 6875 7000 7700 8750 9625 11000 11722 13750 15400 17500 19250 23444 27500 29305 35000 38500 41027 46888 48125 55000 58610 64471 77000 82054 96250 117220 128942 146525 164108 192500 205135 234440 257884 293050 322355 328216 385000 410270 451297 515768 586100 644710 732625 820540 902594 1025675 1172200 1289420 1465250 1611775 1641080 1805188 2051350 2256485 2578840 2930500 3223550 3610376 3663125 4102700 4512970 5128375 5861000 6447100 7326250 8058875 8205400 9025940 10256750 11282425 12894200 14652500 16117750 18051880 20513500 22564850 25641875 29305000 32235500 40294375 41027000 45129700 51283750 56412125 64471000 80588750 90259400 102567500 112824250 161177500 205135000 225648500 282060625 322355000 451297000 564121250 1128242500 2256485000