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220021012200 = 233521133336517
BaseRepresentation
bin1100110011101001000…
…1100011011011101000
3210000220122100111001210
43030322101203123220
512101100334342300
6245024245513120
721616216513653
oct3147221433350
9700818314053
10220021012200
1185346141a80
12367847127a0
1317995172b62
14a9130b689a
155acae91050
hex333a4636e8

220021012200 has 96 divisors (see below), whose sum is σ = 744071081760. Its totient is φ = 53338425600.

The previous prime is 220021012069. The next prime is 220021012201. The reversal of 220021012200 is 2210120022.

220021012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220021012201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16661659 + ... + 16674858.

It is an arithmetic number, because the mean of its divisors is an integer number (7750740435).

Almost surely, 2220021012200 is an apocalyptic number.

220021012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021012200 is an abundant number, since it is smaller than the sum of its proper divisors (524050069560).

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

220021012200 is a wasteful number, since it uses less digits than its factorization.

220021012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336547 (or 33336538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220021012200 its reverse (2210120022), we get a palindrome (222231132222).

The spelling of 220021012200 in words is "two hundred twenty billion, twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 33336517 66673034 100009551 133346068 166682585 200019102 266692136 333365170 366701687 400038204 500047755 666730340 733403374 800076408 833412925 1000095510 1100105061 1333460680 1466806748 1666825850 1833508435 2000191020 2200210122 2500238775 2933613496 3333651700 3667016870 4000382040 4400420244 5000477550 5500525305 6667303400 7334033740 8800840488 9167542175 10000955100 11001050610 14668067480 18335084350 20001910200 22002101220 27502626525 36670168700 44004202440 55005253050 73340337400 110010506100 220021012200