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227666723328 = 2936112712
BaseRepresentation
bin1101010000000111111…
…1101000001000000000
3210202122111002212000000
43110001333220020000
512212230140121303
6252331052000000
722306536134652
oct3240177501000
9722574085000
10227666723328
1188609a25a00
1238159160000
131861318a895
14b03a6b86d2
155dc7306da3
hex3501fe8200

227666723328 has 630 divisors, whose sum is σ = 760366946031. Its totient is φ = 68018227200.

The previous prime is 227666723293. The next prime is 227666723329. The reversal of 227666723328 is 823327666722.

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 only one way, i.e., 113833361664 + 113833361664 = 337392^2 + 337392^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337392.

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

It is not an unprimeable number, because it can be changed into a prime (227666723329) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3206573533 + ... + 3206573603.

Almost surely, 2227666723328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227666723328

227666723328 is an abundant number, since it is smaller than the sum of its proper divisors (532700222703).

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

227666723328 is an frugal number, since it uses more digits than its factorization.

227666723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 87 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 227666723328 in words is "two hundred twenty-seven billion, six hundred sixty-six million, seven hundred twenty-three thousand, three hundred twenty-eight".