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2224112312124 = 2232109756318047
BaseRepresentation
bin100000010111010111011…
…011001001111100111100
321212121211012200220102200
4200113113123021330330
5242414440222441444
64421424301351500
7316454401504113
oct40272733117474
97777735626380
102224112312124
11788271465a6a
122bb06a868590
1313196b214451
147990d084c7a
153ccc322a969
hex205d76c9f3c

2224112312124 has 36 divisors (see below), whose sum is σ = 5627186720064. Its totient is φ = 740694940992.

The previous prime is 2224112312101. The next prime is 2224112312137. The reversal of 2224112312124 is 4212132114222.

2224112312124 is a `hidden beast` number, since 2 + 2 + 2 + 411 + 2 + 31 + 212 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28119532 + ... + 28198515.

It is an arithmetic number, because the mean of its divisors is an integer number (156310742224).

Almost surely, 22224112312124 is an apocalyptic number.

It is an amenable number.

2224112312124 is an abundant number, since it is smaller than the sum of its proper divisors (3403074407940).

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

2224112312124 is a wasteful number, since it uses less digits than its factorization.

2224112312124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56319154 (or 56319149 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 2224112312124 its reverse (4212132114222), we get a palindrome (6436244426346).

The spelling of 2224112312124 in words is "two trillion, two hundred twenty-four billion, one hundred twelve million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1097 2194 3291 4388 6582 9873 13164 19746 39492 56318047 112636094 168954141 225272188 337908282 506862423 675816564 1013724846 2027449692 61780897559 123561795118 185342692677 247123590236 370685385354 556028078031 741370770708 1112056156062 2224112312124