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224556205056066 = 23313433738754351
BaseRepresentation
bin110011000011101110010000…
…110101011010000001000010
31002110002100211000201122202000
4303003232100311122001002
5213413112101443243231
62113331410234204430
765204436045326352
oct6303562065320102
91073070730648660
10224556205056066
116560682a649a04
12212285b6883716
13983b73695c320
143d64814c80b62
151ae634eee86e6
hexcc3b90d5a042

224556205056066 has 64 divisors (see below), whose sum is σ = 538640573130240. Its totient is φ = 68934645907200.

The previous prime is 224556205056059. The next prime is 224556205056163. The reversal of 224556205056066 is 660650502655422.

224556205056066 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 5 + 6 + 20 + 5 + 0 + 5 + 606 + 6 = 666.

It is a super-2 number, since 2×2245562050560662 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369073210 + ... + 369681141.

It is an arithmetic number, because the mean of its divisors is an integer number (8416258955160).

Almost surely, 2224556205056066 is an apocalyptic number.

224556205056066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

224556205056066 is an abundant number, since it is smaller than the sum of its proper divisors (314084368074174).

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

224556205056066 is a wasteful number, since it uses less digits than its factorization.

224556205056066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738754808 (or 738754802 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 224556205056066 in words is "two hundred twenty-four trillion, five hundred fifty-six billion, two hundred five million, fifty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 433 702 866 1299 2598 3897 5629 7794 11258 11691 16887 23382 33774 50661 101322 151983 303966 738754351 1477508702 2216263053 4432526106 6648789159 9603806563 13297578318 19207613126 19946367477 28811419689 39892734954 57622839378 86434259067 172868518134 259302777201 319880633983 518605554402 639761267966 959641901949 1919283803898 2878925705847 4158448241779 5757851411694 8316896483558 8636777117541 12475344725337 17273554235082 24950689450674 37426034176011 74852068352022 112278102528033 224556205056066