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20223221304120 = 23353737791205287
BaseRepresentation
bin1001001100100100101011…
…11011000000101100111000
32122121022200001201122220220
410212102111323000230320
510122314124123212440
6111002230345220040
74155036163552662
oct446222573005470
978538601648826
1020223221304120
11649769023176a
12232748ba91620
13b39070498243
144dcb48397532
152510bbc818d0
hex126495ec0b38

20223221304120 has 128 divisors (see below), whose sum is σ = 62325924595200. Its totient is φ = 5245713225216.

The previous prime is 20223221304119. The next prime is 20223221304131. The reversal of 20223221304120 is 2140312232202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16176117 + ... + 17381403.

It is an arithmetic number, because the mean of its divisors is an integer number (486921285900).

Almost surely, 220223221304120 is an apocalyptic number.

20223221304120 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 20223221304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31162962297600).

20223221304120 is an abundant number, since it is smaller than the sum of its proper divisors (42102703291080).

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

20223221304120 is a wasteful number, since it uses less digits than its factorization.

20223221304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209117 (or 1209113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20223221304120 its reverse (2140312232202), we get a palindrome (22363533536322).

The spelling of 20223221304120 in words is "twenty trillion, two hundred twenty-three billion, two hundred twenty-one million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 3779 4440 7558 11337 15116 18895 22674 30232 37790 45348 56685 75580 90696 113370 139823 151160 226740 279646 419469 453480 559292 699115 838938 1118584 1205287 1398230 1677876 2097345 2410574 2796460 3355752 3615861 4194690 4821148 5592920 6026435 7231722 8389380 9642296 12052870 14463444 16778760 18079305 24105740 28926888 36158610 44595619 48211480 72317220 89191238 133786857 144634440 178382476 222978095 267573714 356764952 445956190 535147428 668934285 891912380 1070294856 1337868570 1783824760 2675737140 4554779573 5351474280 9109559146 13664338719 18219118292 22773897865 27328677438 36438236584 45547795730 54657354876 68321693595 91095591460 109314709752 136643387190 168526844201 182191182920 273286774380 337053688402 505580532603 546573548760 674107376804 842634221005 1011161065206 1348214753608 1685268442010 2022322130412 2527902663015 3370536884020 4044644260824 5055805326030 6741073768040 10111610652060 20223221304120