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227997840 = 243571131201
BaseRepresentation
bin11011001011011…
…11100010010000
3120220000111020110
431211233202100
5431331412330
634342441320
75435643510
oct1545574220
9526014213
10227997840
11107776174
1264433240
133830ab85
14223cd840
1515039db0
hexd96f890

227997840 has 160 divisors (see below), whose sum is σ = 815590656. Its totient is φ = 51609600.

The previous prime is 227997823. The next prime is 227997841. The reversal of 227997840 is 48799722.

227997840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 227997840.

It is not an unprimeable number, because it can be changed into a prime (227997841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189240 + ... + 190440.

Almost surely, 2227997840 is an apocalyptic number.

227997840 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 227997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407795328).

227997840 is an abundant number, since it is smaller than the sum of its proper divisors (587592816).

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

227997840 is a wasteful number, since it uses less digits than its factorization.

227997840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 227997840 is about 15099.5973456248. The cubic root of 227997840 is about 610.9095452287.

The spelling of 227997840 in words is "two hundred twenty-seven million, nine hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 280 336 339 420 452 560 565 678 791 840 904 1130 1201 1356 1582 1680 1695 1808 2260 2373 2402 2712 3164 3390 3603 3955 4520 4746 4804 5424 6005 6328 6780 7206 7910 8407 9040 9492 9608 11865 12010 12656 13560 14412 15820 16814 18015 18984 19216 23730 24020 25221 27120 28824 31640 33628 36030 37968 42035 47460 48040 50442 57648 63280 67256 72060 84070 94920 96080 100884 126105 134512 135713 144120 168140 189840 201768 252210 271426 288240 336280 403536 407139 504420 542852 672560 678565 814278 949991 1008840 1085704 1357130 1628556 1899982 2017680 2035695 2171408 2714260 2849973 3257112 3799964 4071390 4749955 5428520 5699946 6514224 7599928 8142780 9499910 10857040 11399892 14249865 15199856 16285560 18999820 22799784 28499730 32571120 37999640 45599568 56999460 75999280 113998920 227997840