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21220301232 = 24321379143489
BaseRepresentation
bin10011110000110101…
…000001100110110000
32000202212201222211200
4103300311001212300
5321424344114412
613425400411200
71350600404304
oct236065014660
960685658750
1021220301232
118aaa341439
124142776b00
132002459680
1410543bbd04
15842e669dc
hex4f0d419b0

21220301232 has 120 divisors (see below), whose sum is σ = 64765646400. Its totient is φ = 6446628864.

The previous prime is 21220301231. The next prime is 21220301233. The reversal of 21220301232 is 23210302212.

It is an interprime number because it is at equal distance from previous prime (21220301231) and next prime (21220301233).

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

It is not an unprimeable number, because it can be changed into a prime (21220301231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76144 + ... + 219632.

It is an arithmetic number, because the mean of its divisors is an integer number (539713720).

Almost surely, 221220301232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32382823200).

21220301232 is an abundant number, since it is smaller than the sum of its proper divisors (43545345168).

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

21220301232 is a wasteful number, since it uses less digits than its factorization.

21220301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143595 (or 143586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21220301232 its reverse (23210302212), we get a palindrome (44430603444).

The spelling of 21220301232 in words is "twenty-one billion, two hundred twenty million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 79 104 117 144 156 158 208 234 237 312 316 468 474 624 632 711 936 948 1027 1264 1422 1872 1896 2054 2844 3081 3792 4108 5688 6162 8216 9243 11376 12324 16432 18486 24648 36972 49296 73944 143489 147888 286978 430467 573956 860934 1147912 1291401 1721868 1865357 2295824 2582802 3443736 3730714 5165604 5596071 6887472 7461428 10331208 11192142 11335631 14922856 16788213 20662416 22384284 22671262 29845712 33576426 34006893 44768568 45342524 67152852 68013786 89537136 90685048 102020679 134305704 136027572 147363203 181370096 204041358 268611408 272055144 294726406 408082716 442089609 544110288 589452812 816165432 884179218 1178905624 1326268827 1632330864 1768358436 2357811248 2652537654 3536716872 5305075308 7073433744 10610150616 21220301232