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226058407936 = 212172192232
BaseRepresentation
bin1101001010001000100…
…0011001000000000000
3210121111101202222001021
43102202020121000000
512200431423023221
6251503320115224
722221636522544
oct3224210310000
9717441688037
10226058407936
1187964094829
123798a605b14
1318417c02c7a
14ad26c5ba24
155d31014041
hex34a2219000

226058407936 has 351 divisors, whose sum is σ = 529816413441. Its totient is φ = 96399654912.

The previous prime is 226058407931. The next prime is 226058408027. The reversal of 226058407936 is 639704850622.

The square root of 226058407936 is 475456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 175997030400 + 50061377536 = 419520^2 + 223744^2 .

It is a super-2 number, since 2×2260584079362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226058407931) 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, 9828626421 + ... + 9828626443.

Almost surely, 2226058407936 is an apocalyptic number.

226058407936 is the 475456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226058407936

226058407936 is an abundant number, since it is smaller than the sum of its proper divisors (303758005505).

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

226058407936 is an equidigital number, since it uses as much as digits as its factorization.

226058407936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 226058407936 in words is "two hundred twenty-six billion, fifty-eight million, four hundred seven thousand, nine hundred thirty-six".