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221223121000 = 23537279711299
BaseRepresentation
bin1100111000000111101…
…1001111000001101000
3210011000102022221022221
43032001323033001220
512111031104333000
6245343431123424
721661054334230
oct3160173170150
9704012287287
10221223121000
1185902759122
1236a5b213574
1317b2722513b
14a9c89d4cc0
155b4b79661a
hex3381ecf068

221223121000 has 128 divisors (see below), whose sum is σ = 591877728000. Its totient is φ = 75814099200.

The previous prime is 221223120997. The next prime is 221223121019. The reversal of 221223121000 is 121322122.

It is a happy number.

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, 19573351 + ... + 19584649.

It is an arithmetic number, because the mean of its divisors is an integer number (4624044750).

Almost surely, 2221223121000 is an apocalyptic number.

221223121000 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 221223121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295938864000).

221223121000 is an abundant number, since it is smaller than the sum of its proper divisors (370654607000).

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

221223121000 is a wasteful number, since it uses less digits than its factorization.

221223121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14124 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221223121000 its reverse (121322122), we get a palindrome (221344443122).

The spelling of 221223121000 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2797 3500 5594 7000 11188 11299 13985 19579 22376 22598 27970 39158 45196 55940 56495 69925 78316 79093 90392 97895 111880 112990 139850 156632 158186 195790 225980 279700 282475 316372 349625 391580 395465 451960 489475 559400 564950 632744 699250 783160 790930 978950 1129900 1398500 1412375 1581860 1957900 1977325 2259800 2447375 2797000 2824750 3163720 3915800 3954650 4894750 5649500 7909300 9789500 9886625 11299000 15818600 19579000 19773250 31603303 39546500 63206606 79093000 126413212 158016515 221223121 252826424 316033030 442446242 632066060 790082575 884892484 1106115605 1264132120 1580165150 1769784968 2212231210 3160330300 3950412875 4424462420 5530578025 6320660600 7900825750 8848924840 11061156050 15801651500 22122312100 27652890125 31603303000 44244624200 55305780250 110611560500 221223121000