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2122440432219 = 34291066384737
BaseRepresentation
bin11110111000101011010…
…011101101101001011011
321111220101112010021010000
4132320223103231221123
5234233224222312334
64303011412224043
7306225024002142
oct36705323555133
97456345107100
102122440432219
11749138323838
122a341500b023
131251b7222873
1474a25d7c759
153a322344299
hex1ee2b4eda5b

2122440432219 has 40 divisors (see below), whose sum is σ = 3280235096160. Its totient is φ = 1366024310784.

The previous prime is 2122440432209. The next prime is 2122440432221. The reversal of 2122440432219 is 9122340442212.

2122440432219 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 4 + 0 + 432 + 219 = 666.

It is not a de Polignac number, because 2122440432219 - 25 = 2122440432187 is a prime.

It is a super-2 number, since 2×21224404322192 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122440432209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25005019 + ... + 25089755.

It is an arithmetic number, because the mean of its divisors is an integer number (82005877404).

Almost surely, 22122440432219 is an apocalyptic number.

2122440432219 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2122440432219 is a deficient number, since it is larger than the sum of its proper divisors (1157794663941).

2122440432219 is a wasteful number, since it uses less digits than its factorization.

2122440432219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95441 (or 95432 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2122440432219 in words is "two trillion, one hundred twenty-two billion, four hundred forty million, four hundred thirty-two thousand, two hundred nineteen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 10663 31989 84737 95967 254211 287901 309227 762633 863703 927681 2287899 2457373 2783043 6863697 7372119 8349129 22116357 25047387 66349071 199047213 903550631 2710651893 8131955679 24395867037 26202968299 73187601111 78608904897 235826714691 707480144073 2122440432219