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2255799456 = 2534919947
BaseRepresentation
bin1000011001110100…
…1100010010100000
312211012200111010000
42012131030102200
514104441040311
61011501340000
7106620656541
oct20635142240
95735614100
102255799456
11a58381579
1252b567600
1329c46a6a1
141758444c8
15d3090056
hex8674c4a0

2255799456 has 120 divisors (see below), whose sum is σ = 6648475680. Its totient is φ = 750321792.

The previous prime is 2255799407. The next prime is 2255799463. The reversal of 2255799456 is 6549975522.

2255799456 is a `hidden beast` number, since 2 + 25 + 579 + 9 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2381575 + ... + 2382521.

It is an arithmetic number, because the mean of its divisors is an integer number (55403964).

Almost surely, 22255799456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255799456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324237840).

2255799456 is an abundant number, since it is smaller than the sum of its proper divisors (4392676224).

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

2255799456 is an equidigital number, since it uses as much as digits as its factorization.

2255799456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1871 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 2255799456 is about 47495.2571947979. The cubic root of 2255799456 is about 1311.4955737357.

The spelling of 2255799456 in words is "two billion, two hundred fifty-five million, seven hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 919 947 1296 1838 1894 2592 2757 2841 3676 3788 5514 5682 7352 7576 8271 8523 11028 11364 14704 15152 16542 17046 22056 22728 24813 25569 29408 30304 33084 34092 44112 45456 49626 51138 66168 68184 74439 76707 88224 90912 99252 102276 132336 136368 148878 153414 198504 204552 264672 272736 297756 306828 397008 409104 595512 613656 794016 818208 870293 1191024 1227312 1740586 2382048 2454624 2610879 3481172 5221758 6962344 7832637 10443516 13924688 15665274 20887032 23497911 27849376 31330548 41774064 46995822 62661096 70493733 83548128 93991644 125322192 140987466 187983288 250644384 281974932 375966576 563949864 751933152 1127899728 2255799456