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226414301616 = 24328318943633
BaseRepresentation
bin1101001011011101011…
…0000001000110110000
3210122102012110020101200
43102313112001012300
512202144030122431
6252002512131200
722233520544466
oct3226726010660
9718365406350
10226414301616
1188026a74a38
1237a69836b00
1318473870949
14ad5c220836
155d523b3ee6
hex34b75811b0

226414301616 has 60 divisors (see below), whose sum is σ = 641279898168. Its totient is φ = 74562135552.

The previous prime is 226414301567. The next prime is 226414301621. The reversal of 226414301616 is 616103414622.

226414301616 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 1 + 4 + 30 + 1 + 616 = 666.

It is a super-2 number, since 2×2264143016162 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9459865 + ... + 9483768.

Almost surely, 2226414301616 is an apocalyptic number.

It is an amenable number.

226414301616 is an abundant number, since it is smaller than the sum of its proper divisors (414865596552).

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

226414301616 is a wasteful number, since it uses less digits than its factorization.

226414301616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18943730 (or 18943721 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 226414301616 in words is "two hundred twenty-six billion, four hundred fourteen million, three hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 18943633 37887266 56830899 75774532 113661798 151549064 170492697 227323596 303098128 340985394 454647192 681970788 909294384 1363941576 1572321539 2727883152 3144643078 4716964617 6289286156 9433929234 12578572312 14150893851 18867858468 25157144624 28301787702 37735716936 56603575404 75471433872 113207150808 226414301616