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229450062240 = 25325722762903
BaseRepresentation
bin1101010110110001001…
…0100001100110100000
3210221020202202212002100
43111230102201212200
512224403203442430
6253224035050400
722401662230530
oct3255422414640
9727222685070
10229450062240
118934463a913
1238576440a00
13188387961c9
14b1694954c0
155e7db6d960
hex356c4a19a0

229450062240 has 144 divisors (see below), whose sum is σ = 894855282048. Its totient is φ = 52445726208.

The previous prime is 229450062187. The next prime is 229450062251. The reversal of 229450062240 is 42260054922.

It is a happy number.

229450062240 is a `hidden beast` number, since 2 + 2 + 94 + 500 + 6 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229450062195 and 229450062204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11371372 + ... + 11391531.

It is an arithmetic number, because the mean of its divisors is an integer number (6214272792).

Almost surely, 2229450062240 is an apocalyptic number.

229450062240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229450062240 is an abundant number, since it is smaller than the sum of its proper divisors (665405219808).

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

229450062240 is a wasteful number, since it uses less digits than its factorization.

229450062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22762931 (or 22762920 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 229450062240 in words is "two hundred twenty-nine billion, four hundred fifty million, sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 22762903 45525806 68288709 91051612 113814515 136577418 159340321 182103224 204866127 227629030 273154836 318680642 341443545 364206448 409732254 455258060 478020963 546309672 637361284 682887090 728412896 796701605 819464508 910516120 956041926 1024330635 1092619344 1274722568 1365774180 1434062889 1593403210 1638929016 1821032240 1912083852 2048661270 2185238688 2390104815 2549445136 2731548360 2868125778 3186806420 3277858032 3642064480 3824167704 4097322540 4780209630 5098890272 5463096720 5736251556 6373612840 6555716064 7170314445 7648335408 8194645080 9560419260 10926193440 11472503112 12747225680 14340628890 15296670816 16389290160 19120838520 22945006224 25494451360 28681257780 32778580320 38241677040 45890012448 57362515560 76483354080 114725031120 229450062240