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226689598080 = 27335111731273
BaseRepresentation
bin1101001100011111000…
…0001100001010000000
3210200010101110202011000
43103013300030022000
512203230014114310
6252050104452000
722243402535211
oct3230760141200
9720111422130
10226689598080
1188158406280
1237b25a7a000
13184b88cc46a
14ad86a03408
155d6b6434c0
hex34c7c0c280

226689598080 has 1536 divisors, whose sum is σ = 971373254400. Its totient is φ = 49368268800.

The previous prime is 226689598027. The next prime is 226689598103. The reversal of 226689598080 is 80895986622.

It is a junction number, because it is equal to n+sod(n) for n = 226689597999 and 226689598017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3105336924 + ... + 3105336996.

Almost surely, 2226689598080 is an apocalyptic number.

226689598080 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 226689598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485686627200).

226689598080 is an abundant number, since it is smaller than the sum of its proper divisors (744683656320).

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

226689598080 is a wasteful number, since it uses less digits than its factorization.

226689598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 226689598080 in words is "two hundred twenty-six billion, six hundred eighty-nine million, five hundred ninety-eight thousand, eighty".