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226981000000 = 2656613
BaseRepresentation
bin1101001101100100011…
…1110011001101000000
3210200212200210111102201
43103121013303031000
512204324114000000
6252135034322544
722253541444406
oct3233107631500
9720780714381
10226981000000
1188297947907
1237ba7589454
13185340a9831
14adb35b9476
155d8700496a
hex34d91f3340

226981000000 has 196 divisors, whose sum is σ = 572395563868. Its totient is φ = 89304000000.

The previous prime is 226980999979. The next prime is 226981000021. The reversal of 226981000000 is 189622.

It is a happy number.

The cubic root of 226981000000 is 6100.

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

226981000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226980999979) and next prime (226981000021).

It can be written as a sum of positive squares in 14 ways, for example, as 5320827136 + 221660172864 = 72944^2 + 470808^2 .

It is a super-2 number, since 2×2269810000002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3720999970 + ... + 3721000030.

Almost surely, 2226981000000 is an apocalyptic number.

226981000000 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 226981000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286197781934).

226981000000 is an abundant number, since it is smaller than the sum of its proper divisors (345414563868).

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

226981000000 is an frugal number, since it uses more digits than its factorization.

226981000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Multiplying 226981000000 by its product of nonzero digits (1728), we get a cube (392223168000000 = 732003).

Adding to 226981000000 its reverse (189622), we get a palindrome (226981189622).

The spelling of 226981000000 in words is "two hundred twenty-six billion, nine hundred eighty-one million", and thus it is an aban number.