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226706844800 = 27521924432
BaseRepresentation
bin1101001100100011000…
…1111110110010000000
3210200011120220222012102
43103020301332302000
512203243423013200
6252051522245532
722244002246202
oct3231061766200
9720146828172
10226706844800
1188167115a67
1237b2b7b68a8
13184bc35a617
14ad89012772
155d6cded6d5
hex34c8c7ec80

226706844800 has 216 divisors, whose sum is σ = 592400960865. Its totient is φ = 85716034560.

The previous prime is 226706844787. The next prime is 226706844811. The reversal of 226706844800 is 8448607622.

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 222172707904 + 4534136896 = 471352^2 + 67336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336680.

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 26 ways as a sum of consecutive naturals, for example, 511753379 + ... + 511753821.

Almost surely, 2226706844800 is an apocalyptic number.

226706844800 is a gapful number since it is divisible by the number (20) 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 226706844800

226706844800 is an abundant number, since it is smaller than the sum of its proper divisors (365694116065).

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

226706844800 is an frugal number, since it uses more digits than its factorization.

226706844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 226706844800 in words is "two hundred twenty-six billion, seven hundred six million, eight hundred forty-four thousand, eight hundred".