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22223121000 = 2335322733259
BaseRepresentation
bin10100101100100110…
…011110101001101000
32010100202201111221120
4110230212132221220
5331003104333000
614113102335240
71414465261143
oct245446365150
963322644846
1022223121000
119474410803
12438258a520
132132143152
14110b66105a
158a10036a0
hex52c99ea68

22223121000 has 128 divisors (see below), whose sum is σ = 69387926400. Its totient is φ = 5921740800.

The previous prime is 22223120989. The next prime is 22223121013. The reversal of 22223121000 is 12132222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 6817371 + ... + 6820629.

It is an arithmetic number, because the mean of its divisors is an integer number (542093175).

Almost surely, 222223121000 is an apocalyptic number.

22223121000 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 22223121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34693963200).

22223121000 is an abundant number, since it is smaller than the sum of its proper divisors (47164805400).

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

22223121000 is a wasteful number, since it uses less digits than its factorization.

22223121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22223121000 its reverse (12132222), we get a palindrome (22235253222).

The spelling of 22223121000 in words is "twenty-two billion, two hundred twenty-three million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2273 3000 3259 4546 6518 6819 9092 9777 11365 13036 13638 16295 18184 19554 22730 26072 27276 32590 34095 39108 45460 48885 54552 56825 65180 68190 78216 81475 90920 97770 113650 130360 136380 162950 170475 195540 227300 244425 272760 284125 325900 340950 391080 407375 454600 488850 568250 651800 681900 814750 852375 977700 1136500 1222125 1363800 1629500 1704750 1955400 2273000 2444250 3259000 3409500 4888500 6819000 7407707 9777000 14815414 22223121 29630828 37038535 44446242 59261656 74077070 88892484 111115605 148154140 177784968 185192675 222231210 296308280 370385350 444462420 555578025 740770700 888924840 925963375 1111156050 1481541400 1851926750 2222312100 2777890125 3703853500 4444624200 5555780250 7407707000 11111560500 22223121000