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226658365472 = 257211210932
BaseRepresentation
bin1101001100010111100…
…1000011000000100000
3210200001012200222001202
43103011321003000200
512203144020143342
6252043031220332
722242543214100
oct3230571030040
9720035628052
10226658365472
1188141813800
1237b175176a8
13184b22b5426
14ad827d3200
155d68a24332
hex34c5e43020

226658365472 has 162 divisors, whose sum is σ = 571090444029. Its totient is φ = 88227659520.

The previous prime is 226658365471. The next prime is 226658365501. The reversal of 226658365472 is 274563856622.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 140502026896 + 86156338576 = 374836^2 + 293524^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336644.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (226658365471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 207372158 + ... + 207373250.

Almost surely, 2226658365472 is an apocalyptic number.

226658365472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226658365472

226658365472 is an abundant number, since it is smaller than the sum of its proper divisors (344432078557).

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

226658365472 is an equidigital number, since it uses as much as digits as its factorization.

226658365472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 1113 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 56.

The spelling of 226658365472 in words is "two hundred twenty-six billion, six hundred fifty-eight million, three hundred sixty-five thousand, four hundred seventy-two".