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2255378720 = 25572969439
BaseRepresentation
bin1000011001101110…
…0101100100100000
312211011220002222012
42012123211210200
514104334104340
61011444332052
7106614255110
oct20633454440
95734802865
102255378720
11a58114461
1252b3a4028
1329c35102a
14175775040
15d300a565
hex866e5920

2255378720 has 96 divisors (see below), whose sum is σ = 6299596800. Its totient is φ = 746597376.

The previous prime is 2255378701. The next prime is 2255378737. The reversal of 2255378720 is 278735522.

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 15 ways as a sum of consecutive naturals, for example, 2240 + ... + 67199.

It is an arithmetic number, because the mean of its divisors is an integer number (65620800).

Almost surely, 22255378720 is an apocalyptic number.

2255378720 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 2255378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

2255378720 is an abundant number, since it is smaller than the sum of its proper divisors (4044218080).

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

2255378720 is a wasteful number, since it uses less digits than its factorization.

2255378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69490 (or 69482 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 2255378720 is about 47490.8277459974. The cubic root of 2255378720 is about 1311.4140316599.

The spelling of 2255378720 in words is "two billion, two hundred fifty-five million, three hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 8120 16240 32480 69439 138878 277756 347195 486073 555512 694390 972146 1111024 1388780 1944292 2013731 2222048 2430365 2777560 3888584 4027462 4860730 5555120 7777168 8054924 9721460 10068655 11110240 14096117 15554336 16109848 19442920 20137310 28192234 32219696 38885840 40274620 56384468 64439392 70480585 77771680 80549240 112768936 140961170 161098480 225537872 281922340 322196960 451075744 563844680 1127689360 2255378720