Search a number
-
+
2226891335560 = 235304118307229
BaseRepresentation
bin100000011001111101000…
…100010010011110001000
321212212222212220220220121
4200121331010102132020
5242441133140214220
64423004133433024
7316613305015213
oct40317504223610
97785885826817
102226891335560
11789468116451
122bb70549b774
13131cc1ba8908
1479ad41a877a
153cdd71beeaa
hex2067d112788

2226891335560 has 32 divisors (see below), whose sum is σ = 5012153429400. Its totient is φ = 890463569920.

The previous prime is 2226891335549. The next prime is 2226891335561. The reversal of 2226891335560 is 655331986222.

It can be written as a sum of positive squares in 4 ways, for example, as 2149408159396 + 77483176164 = 1466086^2 + 278358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2226891335498 and 2226891335507.

It is not an unprimeable number, because it can be changed into a prime (2226891335561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9031975 + ... + 9275254.

Almost surely, 22226891335560 is an apocalyptic number.

2226891335560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226891335560 is an abundant number, since it is smaller than the sum of its proper divisors (2785262093840).

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

2226891335560 is a wasteful number, since it uses less digits than its factorization.

2226891335560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18310281 (or 18310277 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 2226891335560 in words is "two trillion, two hundred twenty-six billion, eight hundred ninety-one million, three hundred thirty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 3041 6082 12164 15205 24328 30410 60820 121640 18307229 36614458 73228916 91536145 146457832 183072290 366144580 732289160 55672283389 111344566778 222689133556 278361416945 445378267112 556722833890 1113445667780 2226891335560