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226410466720 = 2551415065417
BaseRepresentation
bin1101001011011100011…
…1011000110110100000
3210122101221020101220111
43102313013120312200
512202142034413340
6252002254021104
722233443133154
oct3226707306640
9718357211814
10226410466720
11880248957a9
1237a684a7794
1318472b2a289
14ad5b903064
155d51da7aea
hex34b71d8da0

226410466720 has 24 divisors (see below), whose sum is σ = 534894728004. Its totient is φ = 90564186624.

The previous prime is 226410466697. The next prime is 226410466727. The reversal of 226410466720 is 27664014622.

226410466720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 201611776144 + 24798690576 = 449012^2 + 157476^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (226410466727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 707532549 + ... + 707532868.

Almost surely, 2226410466720 is an apocalyptic number.

226410466720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226410466720 is an abundant number, since it is smaller than the sum of its proper divisors (308484261284).

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

226410466720 is a wasteful number, since it uses less digits than its factorization.

226410466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415065432 (or 1415065424 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 226410466720 in words is "two hundred twenty-six billion, four hundred ten million, four hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1415065417 2830130834 5660261668 7075327085 11320523336 14150654170 22641046672 28301308340 45282093344 56602616680 113205233360 226410466720