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2220210221220 = 2232512334501229
BaseRepresentation
bin100000010011101110110…
…101110111000010100100
321212020202021020011000100
4200103232311313002210
5242333442304034340
64415541150144100
7316255610333565
oct40235665670244
97766667204010
102220210221220
11786649875352
122ba35bab2030
13131498983914
147965cb3a16c
153cb45895830
hex204eed770a4

2220210221220 has 36 divisors (see below), whose sum is σ = 6734637671580. Its totient is φ = 592056058944.

The previous prime is 2220210221213. The next prime is 2220210221227. The reversal of 2220210221220 is 221220120222.

2220210221220 is a `hidden beast` number, since 2 + 220 + 2 + 1 + 0 + 221 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2220210221213) and next prime (2220210221227).

It can be written as a sum of positive squares in 2 ways, for example, as 897691821156 + 1322518400064 = 947466^2 + 1150008^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22202102212202 (a number of 25 digits) contains 22 as substring.

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 = 2220210221193 and 2220210221202.

It is not an unprimeable number, because it can be changed into a prime (2220210221227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6167250435 + ... + 6167250794.

It is an arithmetic number, because the mean of its divisors is an integer number (187073268655).

Almost surely, 22220210221220 is an apocalyptic number.

2220210221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220210221220 is an abundant number, since it is smaller than the sum of its proper divisors (4514427450360).

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

2220210221220 is a wasteful number, since it uses less digits than its factorization.

2220210221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334501244 (or 12334501239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220210221220 its reverse (221220120222), we get a palindrome (2441430341442).

The spelling of 2220210221220 in words is "two trillion, two hundred twenty billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12334501229 24669002458 37003503687 49338004916 61672506145 74007007374 111010511061 123345012290 148014014748 185017518435 222021022122 246690024580 370035036870 444042044244 555052555305 740070073740 1110105110610 2220210221220