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226047660660 = 22345139535593
BaseRepresentation
bin1101001010000101111…
…1011001001001110100
3210121110122112221120000
43102201133121021310
512200421200120120
6251502253511300
722221446261433
oct3224137311164
9717418487500
10226047660660
1187959014188
1237986aa2530
131841590c233
14ad2566111a
155d300de990
hex34a17d9274

226047660660 has 60 divisors (see below), whose sum is σ = 709119888708. Its totient is φ = 60279375744.

The previous prime is 226047660649. The next prime is 226047660661. The reversal of 226047660660 is 66066740622.

226047660660 is a `hidden beast` number, since 2 + 2 + 60 + 476 + 60 + 6 + 60 = 666.

226047660660 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 23580059364 + 202467601296 = 153558^2 + 449964^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226047660661) 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 19 ways as a sum of consecutive naturals, for example, 69766177 + ... + 69769416.

Almost surely, 2226047660660 is an apocalyptic number.

226047660660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226047660660 is an abundant number, since it is smaller than the sum of its proper divisors (483072228048).

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

226047660660 is a wasteful number, since it uses less digits than its factorization.

226047660660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139535614 (or 139535603 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 226047660660 in words is "two hundred twenty-six billion, forty-seven million, six hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 139535593 279071186 418606779 558142372 697677965 837213558 1255820337 1395355930 1674427116 2093033895 2511640674 2790711860 3767461011 4186067790 5023281348 6279101685 7534922022 8372135580 11302383033 12558203370 15069844044 18837305055 22604766066 25116406740 37674610110 45209532132 56511915165 75349220220 113023830330 226047660660