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226655716032 = 26325315149169
BaseRepresentation
bin1101001100010110111…
…0111100001011000000
3210200001000201100201100
43103011232330023000
512203142330403112
6252042454334400
722242511540554
oct3230556741300
9720030640640
10226655716032
1188140274189
1237b1665a400
13184b1898505
14ad82303864
155d6869e2dc
hex34c5bbc2c0

226655716032 has 168 divisors, whose sum is σ = 666322731360. Its totient is φ = 73633996800.

The previous prime is 226655715991. The next prime is 226655716037. The reversal of 226655716032 is 230617556622.

226655716032 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 557 + 1 + 60 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (226655716037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4585144 + ... + 4634312.

Almost surely, 2226655716032 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 226655716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333161365680).

226655716032 is an abundant number, since it is smaller than the sum of its proper divisors (439667015328).

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

226655716032 is a wasteful number, since it uses less digits than its factorization.

226655716032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49391 (or 49378 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 226655716032 in words is "two hundred twenty-six billion, six hundred fifty-five million, seven hundred sixteen thousand, thirty-two".