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226267343560 = 23517332697593
BaseRepresentation
bin1101001010111010010…
…1011010101011001000
3210122000221220222211201
43102232211122223020
512201343414443220
6251540142233544
722230054454366
oct3225645325310
9718027828751
10226267343560
1187a610201a5
1237a285858b4
131844c29850b
14ad468c8636
155d44535d0a
hex34ae95aac8

226267343560 has 32 divisors (see below), whose sum is σ = 512044322040. Its totient is φ = 89983773184.

The previous prime is 226267343551. The next prime is 226267343569. The reversal of 226267343560 is 65343762622.

226267343560 is digitally balanced in base 2, 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 (226267343551) and next prime (226267343569).

It can be written as a sum of positive squares in 4 ways, for example, as 211465701316 + 14801642244 = 459854^2 + 121662^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 226267343560.

It is not an unprimeable number, because it can be changed into a prime (226267343569) 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 7 ways as a sum of consecutive naturals, for example, 16341877 + ... + 16355716.

Almost surely, 2226267343560 is an apocalyptic number.

226267343560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226267343560 is an abundant number, since it is smaller than the sum of its proper divisors (285776978480).

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

226267343560 is a wasteful number, since it uses less digits than its factorization.

226267343560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32697777 (or 32697773 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 226267343560 in words is "two hundred twenty-six billion, two hundred sixty-seven million, three hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 32697593 65395186 130790372 163487965 261580744 326975930 653951860 1307903720 5656683589 11313367178 22626734356 28283417945 45253468712 56566835890 113133671780 226267343560