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226372981248 = 29324321632
BaseRepresentation
bin1101001011010011100…
…0011001001000000000
3210122022022200221111200
43102310320121020000
512202102440344443
6251554434341200
722232506410111
oct3226470311000
9718268627450
10226372981248
1188005712377
1237a57a2a800
131846813411b
14ad56946208
155d4d950dd3
hex34b4e19200

226372981248 has 270 divisors, whose sum is σ = 673003462131. Its totient is φ = 73250666496.

The previous prime is 226372981243. The next prime is 226372981277. The reversal of 226372981248 is 842189273622.

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.

226372981248 is a `hidden beast` number, since 2 + 26 + 372 + 9 + 8 + 1 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113186490624 + 113186490624 = 336432^2 + 336432^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336432.

It is a junction number, because it is equal to n+sod(n) for n = 226372981194 and 226372981203.

It is not an unprimeable number, because it can be changed into a prime (226372981243) 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, 1388791215 + ... + 1388791377.

Almost surely, 2226372981248 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 226372981248

226372981248 is an abundant number, since it is smaller than the sum of its proper divisors (446630480883).

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

226372981248 is an frugal number, since it uses more digits than its factorization.

226372981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 211 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 226372981248 in words is "two hundred twenty-six billion, three hundred seventy-two million, nine hundred eighty-one thousand, two hundred forty-eight".