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22230330120 = 23375254119
BaseRepresentation
bin10100101101000001…
…111110101100001000
32010101021021210000000
4110231001332230020
5331011431030440
614113521043000
71414613455035
oct245501765410
963337253000
1022230330120
119478495059
124384a86460
1321337985bb
14110c5ba38c
158a1979730
hex52d07eb08

22230330120 has 128 divisors (see below), whose sum is σ = 75016224000. Its totient is φ = 5928064704.

The previous prime is 22230330107. The next prime is 22230330127. The reversal of 22230330120 is 2103303222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22230330093 and 22230330102.

It is not an unprimeable number, because it can be changed into a prime (22230330127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39580 + ... + 214539.

It is an arithmetic number, because the mean of its divisors is an integer number (586064250).

Almost surely, 222230330120 is an apocalyptic number.

22230330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37508112000).

22230330120 is an abundant number, since it is smaller than the sum of its proper divisors (52785893880).

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

22230330120 is an equidigital number, since it uses as much as digits as its factorization.

22230330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254151 (or 254129 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22230330120 its reverse (2103303222), we get a palindrome (24333633342).

The spelling of 22230330120 in words is "twenty-two billion, two hundred thirty million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 4374 4860 5832 7290 8748 9720 10935 14580 17496 21870 29160 43740 87480 254119 508238 762357 1016476 1270595 1524714 2032952 2287071 2541190 3049428 3811785 4574142 5082380 6098856 6861213 7623570 9148284 10164760 11435355 13722426 15247140 18296568 20583639 22870710 27444852 30494280 34306065 41167278 45741420 54889704 61750917 68612130 82334556 91482840 102918195 123501834 137224260 164669112 185252751 205836390 247003668 274448520 308754585 370505502 411672780 494007336 555758253 617509170 741011004 823345560 926263755 1111516506 1235018340 1482022008 1852527510 2223033012 2470036680 2778791265 3705055020 4446066024 5557582530 7410110040 11115165060 22230330120