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226316464200 = 233252112132
BaseRepresentation
bin1101001011000110000…
…0110011000001001000
3210122011101100120200200
43102301200303001020
512201444003323300
6251545055132200
722231222130301
oct3226140630110
9718141316620
10226316464200
1187a86820272
1237a40b14060
1318459506598
14ad4d2337a8
155d489da200
hex34b1833048

226316464200 has 108 divisors (see below), whose sum is σ = 760113914235. Its totient is φ = 60345674880.

The previous prime is 226316464189. The next prime is 226316464219. The reversal of 226316464200 is 2464613622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226316464200 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 1 + 6 + 4 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 780755364 + 225535708836 = 27942^2 + 474906^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336390.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20177794 + ... + 20189006.

Almost surely, 2226316464200 is an apocalyptic number.

226316464200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226316464200 is an abundant number, since it is smaller than the sum of its proper divisors (533797450035).

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

226316464200 is an equidigital number, since it uses as much as digits as its factorization.

226316464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22448 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 226316464200 in words is "two hundred twenty-six billion, three hundred sixteen million, four hundred sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11213 22426 33639 44852 56065 67278 89704 100917 112130 134556 168195 201834 224260 269112 280325 336390 403668 448520 504585 560650 672780 807336 840975 1009170 1121300 1345560 1681950 2018340 2242600 2522925 3363900 4036680 5045850 6727800 10091700 20183400 125731369 251462738 377194107 502925476 628656845 754388214 1005850952 1131582321 1257313690 1508776428 1885970535 2263164642 2514627380 3017552856 3143284225 3771941070 4526329284 5029254760 5657911605 6286568450 7543882140 9052658568 9429852675 11315823210 12573136900 15087764280 18859705350 22631646420 25146273800 28289558025 37719410700 45263292840 56579116050 75438821400 113158232100 226316464200