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22332220220420 = 225112329171513021
BaseRepresentation
bin1010001001111101000000…
…00011011010010000000100
32221001221100211021011120222
411010332200003122100010
510411342341334023140
6115255140315243512
74463310143555105
oct504764003322004
987057324234528
1022332220220420
117130050129660
122608173449598
13c5cbc49ccc96
14572c570ba3ac
1528ada400e5b5
hex144fa00da404

22332220220420 has 96 divisors (see below), whose sum is σ = 53403818178816. Its totient is φ = 7765060723200.

The previous prime is 22332220220413. The next prime is 22332220220467. The reversal of 22332220220420 is 2402202223322.

It is a self number, because there is not a number n which added to its sum of digits gives 22332220220420.

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, 14003510 + ... + 15516530.

It is an arithmetic number, because the mean of its divisors is an integer number (556289772696).

Almost surely, 222332220220420 is an apocalyptic number.

22332220220420 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 22332220220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26701909089408).

22332220220420 is an abundant number, since it is smaller than the sum of its proper divisors (31071597958396).

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

22332220220420 is a wasteful number, since it uses less digits than its factorization.

22332220220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515981 (or 1515979 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 22332220220420 its reverse (2402202223322), we get a palindrome (24734422443742).

The spelling of 22332220220420 in words is "twenty-two trillion, three hundred thirty-two billion, two hundred twenty million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 2917 5060 5834 11668 14585 29170 32087 58340 64174 67091 128348 134182 160435 268364 320870 335455 641740 670910 738001 1341820 1476002 1513021 2952004 3026042 3690005 6052084 7380010 7565105 14760020 15130210 16643231 30260420 33286462 34799483 66572924 69598966 83216155 139197932 166432310 173997415 332864620 347994830 382794313 695989660 765588626 1531177252 1913971565 3827943130 4413482257 7655886260 8826964514 17653929028 22067411285 44134822570 48548304827 88269645140 97096609654 101510091911 194193219308 203020183822 242741524135 406040367644 485483048270 507550459555 970966096540 1015100919110 1116611011021 2030201838220 2233222022042 4466444044084 5583055055105 11166110110210 22332220220420