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226465846002 = 2361141032
BaseRepresentation
bin1101001011101001101…
…0101001001011110010
3210122112210102222000000
43102322122221023302
512202300224033002
6252011553010430
722235014633614
oct3227232511362
9718483388000
10226465846002
1188053080000
1237a82b53a16
1318481449c96
14ad64ddadb4
155d56b9661c
hex34ba6a92f2

226465846002 has 210 divisors, whose sum is σ = 565735264335. Its totient is φ = 67959741960.

The previous prime is 226465845997. The next prime is 226465846169. The reversal of 226465846002 is 200648564622.

226465846002 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 584 + 60 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113232923001 + 113232923001 = 336501^2 + 336501^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336501.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2198697483 + ... + 2198697585.

Almost surely, 2226465846002 is an apocalyptic number.

226465846002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 226465846002

226465846002 is an abundant number, since it is smaller than the sum of its proper divisors (339269418333).

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

226465846002 is an frugal number, since it uses more digits than its factorization.

226465846002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 226465846002 in words is "two hundred twenty-six billion, four hundred sixty-five million, eight hundred forty-six thousand, two".