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2220404240431 = 131743713290887
BaseRepresentation
bin100000010011111010011…
…001111111000000101111
321212021020210022100100001
4200103322121333000233
5242334341441143211
64420012320445131
7316263454431346
oct40237231770057
97767223270301
102220404240431
11786739342903
122ba3b4a797a7
131314c9c258a0
147967a802b5d
153cb5791cac1
hex204fa67f02f

2220404240431 has 32 divisors (see below), whose sum is σ = 2627234362368. Its totient is φ = 1857639329280.

The previous prime is 2220404240309. The next prime is 2220404240437. The reversal of 2220404240431 is 1340424040222.

It is a cyclic number.

It is not a de Polignac number, because 2220404240431 - 215 = 2220404207663 is a prime.

It is a super-2 number, since 2×22204042404312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220404240431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220404240437) 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, 970731 + ... + 2320156.

It is an arithmetic number, because the mean of its divisors is an integer number (82101073824).

Almost surely, 22220404240431 is an apocalyptic number.

2220404240431 is a deficient number, since it is larger than the sum of its proper divisors (406830121937).

2220404240431 is a wasteful number, since it uses less digits than its factorization.

2220404240431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291031.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2220404240431 its reverse (1340424040222), we get a palindrome (3560828280653).

The spelling of 2220404240431 in words is "two trillion, two hundred twenty billion, four hundred four million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 13 17 43 71 221 559 731 923 1207 3053 9503 15691 39689 51901 674713 3290887 42781531 55945079 141508141 233652977 727286027 1839605833 2405638397 3037488701 3972100609 10047078011 31273299161 51637307917 130612014143 170800326187 2220404240431