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223130332320440 = 23529569333787763
BaseRepresentation
bin110010101110111110010100…
…001100100101001010111000
31002021001001101111121201020112
4302232332110030211022320
5213221231410033223230
62110320354245043452
764666430433132236
oct6256762414451270
91067031344551215
10223130332320440
1165107051665486
12210381a09b6588
13976713ba8033c
143d157cc42b956
151abe1ea772d95
hexcaef943252b8

223130332320440 has 64 divisors (see below), whose sum is σ = 519446326183200. Its totient is φ = 86159333704192.

The previous prime is 223130332320437. The next prime is 223130332320451. The reversal of 223130332320440 is 44023233031322.

It is a happy number.

223130332320440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231303323204403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223130332320397 and 223130332320406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10290002 + ... + 23497761.

Almost surely, 2223130332320440 is an apocalyptic number.

223130332320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223130332320440 is an abundant number, since it is smaller than the sum of its proper divisors (296315993862760).

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

223130332320440 is a wasteful number, since it uses less digits than its factorization.

223130332320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33793496 (or 33793492 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 223130332320440 its reverse (44023233031322), we get a palindrome (267153565351762).

The spelling of 223130332320440 in words is "two hundred twenty-three trillion, one hundred thirty billion, three hundred thirty-two million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 5693 11386 22772 28465 45544 56930 113860 165097 227720 330194 660388 825485 1320776 1650970 3301940 6603880 33787763 67575526 135151052 168938815 270302104 337877630 675755260 979845127 1351510520 1959690254 3919380508 4899225635 7838761016 9798451270 19596902540 39193805080 192353734759 384707469518 769414939036 961768673795 1538829878072 1923537347590 3847074695180 5578258308011 7694149390360 11156516616022 22313033232044 27891291540055 44626066464088 55782583080110 111565166160220 223130332320440