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21024014220 = 223251118775657
BaseRepresentation
bin10011100101001000…
…001111111110001100
32000021012101120200100
4103211020033332030
5321024121423340
613354105331100
71342665113046
oct234510177614
960235346610
1021024014220
118a09565070
1240a8a96a90
131ca08a2401
1410362c4a96
15830ae2830
hex4e520ff8c

21024014220 has 144 divisors (see below), whose sum is σ = 69619743648. Its totient is φ = 5093114880.

The previous prime is 21024014177. The next prime is 21024014251. The reversal of 21024014220 is 2241042012.

21024014220 is a `hidden beast` number, since 2 + 1 + 0 + 240 + 1 + 422 + 0 = 666.

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 = 21024014193 and 21024014202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3713632 + ... + 3719288.

It is an arithmetic number, because the mean of its divisors is an integer number (483470442).

Almost surely, 221024014220 is an apocalyptic number.

21024014220 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 21024014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34809871824).

21024014220 is an abundant number, since it is smaller than the sum of its proper divisors (48595729428).

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

21024014220 is a wasteful number, since it uses less digits than its factorization.

21024014220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21024014220 its reverse (2241042012), we get a palindrome (23265056232).

The spelling of 21024014220 in words is "twenty-one billion, twenty-four million, fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1877 1980 3754 5631 5657 7508 9385 11262 11314 16893 16971 18770 20647 22524 22628 28155 28285 33786 33942 37540 41294 50913 56310 56570 61941 62227 67572 67884 82588 84465 84855 101826 103235 112620 113140 123882 124454 168930 169710 185823 186681 203652 206470 247764 248908 254565 309705 311135 337860 339420 371646 373362 412940 509130 560043 619410 622270 743292 746724 929115 933405 1018260 1120086 1238820 1244540 1858230 1866810 2240172 2800215 3716460 3733620 5600430 10618189 11200860 21236378 31854567 42472756 53090945 63709134 95563701 106181890 116800079 127418268 159272835 191127402 212363780 233600158 318545670 350400237 382254804 467200316 477818505 584000395 637091340 700800474 955637010 1051200711 1168000790 1401600948 1752001185 1911274020 2102401422 2336001580 3504002370 4204802844 5256003555 7008004740 10512007110 21024014220