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226668464292228 = 223721783216203357
BaseRepresentation
bin110011100010011101011101…
…010010111100000110000100
31002201120021221000010120110120
4303202131131102330012010
5214202214003324322403
62122030015512221540
765513153564520300
oct6342353522740604
91081507830116416
10226668464292228
1166250612949422
1221509a4a09a8b0
13996298a79230a
143dd8b529b0d00
151b312785dbe53
hexce275d4bc184

226668464292228 has 72 divisors (see below), whose sum is σ = 615588037912512. Its totient is φ = 64726095905856.

The previous prime is 226668464292209. The next prime is 226668464292253. The reversal of 226668464292228 is 822292464866622.

It is a happy number.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107053275 + ... + 109150082.

It is an arithmetic number, because the mean of its divisors is an integer number (8549833859896).

Almost surely, 2226668464292228 is an apocalyptic number.

226668464292228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226668464292228 is an abundant number, since it is smaller than the sum of its proper divisors (388919573620284).

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

226668464292228 is a wasteful number, since it uses less digits than its factorization.

226668464292228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216205161 (or 216205152 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 69.

The spelling of 226668464292228 in words is "two hundred twenty-six trillion, six hundred sixty-eight billion, four hundred sixty-four million, two hundred ninety-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1783 3566 5349 7132 10698 12481 21396 24962 37443 49924 74886 87367 149772 174734 262101 349468 524202 1048404 216203357 432406714 648610071 864813428 1297220142 1513423499 2594440284 3026846998 4540270497 6053693996 9080540994 10593964493 18161081988 21187928986 31781893479 42375857972 63563786958 127127573916 385490585531 770981171062 1156471756593 1541962342124 2312943513186 2698434098717 4625887026372 5396868197434 8095302296151 10793736394868 16190604592302 18889038691019 32381209184604 37778077382038 56667116073057 75556154764076 113334232146114 226668464292228