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20331221220 = 223252310148623
BaseRepresentation
bin10010111011110101…
…011101000011100100
31221110220210001100100
4102323311131003210
5313114243034340
613201240344100
71316553346302
oct227365350344
957426701310
1020331221220
118693498472
123b34a75030
131bc01b751b
14dac2a5272
157ded95830
hex4bbd5d0e4

20331221220 has 144 divisors (see below), whose sum is σ = 64991227392. Its totient is φ = 5134483200.

The previous prime is 20331221203. The next prime is 20331221233. The reversal of 20331221220 is 2212213302.

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 = 20331221193 and 20331221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393829 + ... + 442451.

It is an arithmetic number, because the mean of its divisors is an integer number (451327968).

Almost surely, 220331221220 is an apocalyptic number.

20331221220 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 20331221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32495613696).

20331221220 is an abundant number, since it is smaller than the sum of its proper divisors (44660006172).

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

20331221220 is a wasteful number, since it uses less digits than its factorization.

20331221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48762 (or 48757 counting only the distinct ones).

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

Adding to 20331221220 its reverse (2212213302), we get a palindrome (22543434522).

The spelling of 20331221220 in words is "twenty billion, three hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 101 115 138 180 202 207 230 276 303 345 404 414 460 505 606 690 828 909 1010 1035 1212 1380 1515 1818 2020 2070 2323 3030 3636 4140 4545 4646 6060 6969 9090 9292 11615 13938 18180 20907 23230 27876 34845 41814 46460 48623 69690 83628 97246 104535 139380 145869 194492 209070 243115 291738 418140 437607 486230 583476 729345 875214 972460 1118329 1458690 1750428 2188035 2236658 2917380 3354987 4376070 4473316 4910923 5591645 6709974 8752140 9821846 10064961 11183290 13419948 14732769 16774935 19643692 20129922 22366580 24554615 29465538 33549870 40259844 44198307 49109230 50324805 58931076 67099740 73663845 88396614 98218460 100649610 112951229 147327690 176793228 201299220 220991535 225902458 294655380 338853687 441983070 451804916 564756145 677707374 883966140 1016561061 1129512290 1355414748 1694268435 2033122122 2259024580 3388536870 4066244244 5082805305 6777073740 10165610610 20331221220