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220021012008 = 23327436549627
BaseRepresentation
bin1100110011101001000…
…1100011011000101000
3210000220122100110210200
43030322101203120220
512101100334341013
6245024245512200
721616216513260
oct3147221433050
9700818313720
10220021012008
1185346141916
1236784712660
1317995172a45
14a9130b67a0
155acae90e73
hex333a463628

220021012008 has 48 divisors (see below), whose sum is σ = 681017419680. Its totient is φ = 62863146144.

The previous prime is 220021011989. The next prime is 220021012009. The reversal of 220021012008 is 800210120022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220021012009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 218274310 + ... + 218275317.

It is an arithmetic number, because the mean of its divisors is an integer number (14187862910).

Almost surely, 2220021012008 is an apocalyptic number.

220021012008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220021012008 is an abundant number, since it is smaller than the sum of its proper divisors (460996407672).

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

220021012008 is a wasteful number, since it uses less digits than its factorization.

220021012008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436549646 (or 436549639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 220021012008 in words is "two hundred twenty billion, twenty-one million, twelve thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 436549627 873099254 1309648881 1746198508 2619297762 3055847389 3492397016 3928946643 5238595524 6111694778 7857893286 9167542167 10477191048 12223389556 15715786572 18335084334 24446779112 27502626501 31431573144 36670168668 55005253002 73340337336 110010506004 220021012008