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2232213210320 = 24527902665129
BaseRepresentation
bin100000011110111010010…
…001101000010011010000
321220101201202222011122012
4200132322101220103100
5243033033040212240
64425244204002052
7320162216140112
oct40367221502320
97811652864565
102232213210320
11790749188755
1230074b830328
1313265c623b32
147a07acd53b2
153d0e9506b65
hex207ba4684d0

2232213210320 has 20 divisors (see below), whose sum is σ = 5189895714180. Its totient is φ = 892885284096.

The previous prime is 2232213210301. The next prime is 2232213210329. The reversal of 2232213210320 is 230123122322.

It can be written as a sum of positive squares in 2 ways, for example, as 1468498017856 + 763715192464 = 1211816^2 + 873908^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×22322132103203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232213210329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13951332485 + ... + 13951332644.

It is an arithmetic number, because the mean of its divisors is an integer number (259494785709).

Almost surely, 22232213210320 is an apocalyptic number.

2232213210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232213210320 is an abundant number, since it is smaller than the sum of its proper divisors (2957682503860).

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

2232213210320 is a wasteful number, since it uses less digits than its factorization.

2232213210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27902665142 (or 27902665136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2232213210320 its reverse (230123122322), we get a palindrome (2462336332642).

The spelling of 2232213210320 in words is "two trillion, two hundred thirty-two billion, two hundred thirteen million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27902665129 55805330258 111610660516 139513325645 223221321032 279026651290 446442642064 558053302580 1116106605160 2232213210320