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22200331320 = 23325311989277
BaseRepresentation
bin10100101011001111…
…100010110000111000
32010022011211200101100
4110223033202300320
5330431241100240
614110530051400
71414100463006
oct245317426070
963264750340
1022200331320
119462565562
124376a19b60
13212a4c402b
14110860ba76
1589e000e30
hex52b3e2c38

22200331320 has 96 divisors (see below), whose sum is σ = 74478568320. Its totient is φ = 5729114880.

The previous prime is 22200331303. The next prime is 22200331337. The reversal of 22200331320 is 2313300222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22200331303) and next prime (22200331337).

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 = 22200331293 and 22200331302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983479 + ... + 1005798.

It is an arithmetic number, because the mean of its divisors is an integer number (775818420).

Almost surely, 222200331320 is an apocalyptic number.

22200331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200331320 is an abundant number, since it is smaller than the sum of its proper divisors (52278237000).

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

22200331320 is a wasteful number, since it uses less digits than its factorization.

22200331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989325 (or 1989318 counting only the distinct ones).

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

Adding to 22200331320 its reverse (2313300222), we get a palindrome (24513631542).

The spelling of 22200331320 in words is "twenty-two billion, two hundred million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 1989277 3978554 5967831 7957108 9946385 11935662 15914216 17903493 19892770 23871324 29839155 35806986 39785540 47742648 59678310 61667587 71613972 79571080 89517465 119356620 123335174 143227944 179034930 185002761 238713240 246670348 308337935 358069860 370005522 493340696 555008283 616675870 716139720 740011044 925013805 1110016566 1233351740 1480022088 1850027610 2220033132 2466703480 2775041415 3700055220 4440066264 5550082830 7400110440 11100165660 22200331320