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221112220020 = 22357158138929
BaseRepresentation
bin1100110111101101010…
…0001011100101110100
3210010201200122120210020
43031323110023211310
512110314212020040
6245324430125140
721655236600606
oct3157324134564
9703650576706
10221112220020
11858560a161a
1236a2a0507b0
1317b0a265963
14a9b7da7176
155b41b8bcd0
hex337b50b974

221112220020 has 96 divisors (see below), whose sum is σ = 628012465920. Its totient is φ = 58116280320.

The previous prime is 221112219953. The next prime is 221112220027. The reversal of 221112220020 is 20022211122.

It is a super-2 number, since 2×2211122200202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112220027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24758916 + ... + 24767844.

It is an arithmetic number, because the mean of its divisors is an integer number (6541796520).

Almost surely, 2221112220020 is an apocalyptic number.

221112220020 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 221112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314006232960).

221112220020 is an abundant number, since it is smaller than the sum of its proper divisors (406900245900).

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

221112220020 is a wasteful number, since it uses less digits than its factorization.

221112220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221112220020 its reverse (20022211122), we get a palindrome (241134431142).

The spelling of 221112220020 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 5813 8929 11626 17439 17858 23252 26787 29065 34878 35716 44645 53574 58130 69756 87195 89290 107148 116260 133935 174390 178580 267870 348780 412723 535740 633959 825446 1238169 1267918 1650892 1901877 2063615 2476338 2535836 3169795 3803754 4127230 4952676 6190845 6339590 7607508 8254460 9509385 12381690 12679180 19018770 24763380 38037540 51904277 103808554 155712831 207617108 259521385 311425662 519042770 622851324 778564155 1038085540 1557128310 3114256620 3685203667 7370407334 11055611001 14740814668 18426018335 22111222002 36852036670 44222444004 55278055005 73704073340 110556110010 221112220020