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2220145514303 = 173721673162859
BaseRepresentation
bin100000010011101010111…
…111000001011100111111
321212020120202110200210212
4200103222333001130333
5242333324222424203
64415530515223035
7316254163333643
oct40235277013477
97766522420725
102220145514303
1178661629a062
122ba3422a7a7b
131314884493c2
14796542d4c23
153cb3ed631d8
hex204eafc173f

2220145514303 has 16 divisors (see below), whose sum is σ = 2414402105760. Its totient is φ = 2032968139776.

The previous prime is 2220145514281. The next prime is 2220145514369. The reversal of 2220145514303 is 3034155410222.

It is a cyclic number.

It is not a de Polignac number, because 2220145514303 - 210 = 2220145513279 is a prime.

It is a super-2 number, since 2×22201455143032 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2220145514303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220145514603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13550888 + ... + 13713746.

It is an arithmetic number, because the mean of its divisors is an integer number (150900131610).

Almost surely, 22220145514303 is an apocalyptic number.

2220145514303 is a deficient number, since it is larger than the sum of its proper divisors (194256591457).

2220145514303 is a wasteful number, since it uses less digits than its factorization.

2220145514303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184586.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 2220145514303 in words is "two trillion, two hundred twenty billion, one hundred forty-five million, five hundred fourteen thousand, three hundred three".

Divisors: 1 17 37 629 21673 162859 368441 801901 2768603 6025783 13632317 102438311 3529643107 60003932819 130596794959 2220145514303