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226452706704 = 243271038532557
BaseRepresentation
bin1101001011100110100…
…0100001010110010000
3210122111212201102021100
43102321220201112100
512202233343103304
6252010403224400
722234465150620
oct3227150412620
9718455642240
10226452706704
1188046716284
1237a7a678100
131847b7c9553
14ad6337a880
155d5594d439
hex34b9a21590

226452706704 has 240 divisors, whose sum is σ = 732464841472. Its totient is φ = 63972467712.

The previous prime is 226452706703. The next prime is 226452706721. The reversal of 226452706704 is 407607254622.

It is a happy number.

226452706704 is a `hidden beast` number, since 2 + 2 + 64 + 527 + 0 + 67 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 226452706704.

It is not an unprimeable number, because it can be changed into a prime (226452706703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88560594 + ... + 88563150.

Almost surely, 2226452706704 is an apocalyptic number.

226452706704 is a gapful number since it is divisible by the number (24) 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 226452706704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366232420736).

226452706704 is an abundant number, since it is smaller than the sum of its proper divisors (506012134768).

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

226452706704 is a wasteful number, since it uses less digits than its factorization.

226452706704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

It can be divided in two parts, 226452 and 706704, that added together give a square (933156 = 9662).

The spelling of 226452706704 in words is "two hundred twenty-six billion, four hundred fifty-two million, seven hundred six thousand, seven hundred four".