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229040840 = 23572967421
BaseRepresentation
bin11011010011011…
…10001011001000
3120221222110222002
431221232023020
5432113301330
634421050132
75450546360
oct1551561310
9527873862
10229040840
11108318856
1264856948
13385b4832
14225c19a0
1515193e45
hexda6e2c8

229040840 has 128 divisors (see below), whose sum is σ = 619833600. Its totient is φ = 74511360.

The previous prime is 229040837. The next prime is 229040843. The reversal of 229040840 is 48040922.

229040840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229040837) and next prime (229040843).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (229040843) 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, 543830 + ... + 544250.

It is an arithmetic number, because the mean of its divisors is an integer number (4842450).

Almost surely, 2229040840 is an apocalyptic number.

229040840 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 229040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309916800).

229040840 is an abundant number, since it is smaller than the sum of its proper divisors (390792760).

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

229040840 is a wasteful number, since it uses less digits than its factorization.

229040840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 229040840 is about 15134.0952818462. The cubic root of 229040840 is about 611.8396848943.

The spelling of 229040840 in words is "two hundred twenty-nine million, forty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 67 70 116 134 140 145 203 232 268 280 290 335 406 421 469 536 580 670 812 842 938 1015 1160 1340 1624 1684 1876 1943 2030 2105 2345 2680 2947 3368 3752 3886 4060 4210 4690 5894 7772 8120 8420 9380 9715 11788 12209 13601 14735 15544 16840 18760 19430 23576 24418 27202 28207 29470 38860 48836 54404 56414 58940 61045 68005 77720 85463 97672 108808 112828 117880 122090 136010 141035 170926 197449 225656 244180 272020 282070 341852 394898 427315 488360 544040 564140 683704 789796 818003 854630 987245 1128280 1579592 1636006 1709260 1974490 3272012 3418520 3948980 4090015 5726021 6544024 7897960 8180030 11452042 16360060 22904084 28630105 32720120 45808168 57260210 114520420 229040840