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2232024314325 = 3521316271407041
BaseRepresentation
bin100000011110101111000…
…001000011000111010101
321220101020121112021001020
4200132233001003013111
5243032141211024300
64425213335151353
7320154433430661
oct40365701030725
97811217467036
102232024314325
1179066159a363
123006b8515559
1313262c456a60
147a05dba38a1
153d0d7b428a0
hex207af0431d5

2232024314325 has 48 divisors (see below), whose sum is σ = 3976593356736. Its totient is φ = 1098166579200.

The previous prime is 2232024314321. The next prime is 2232024314341. The reversal of 2232024314325 is 5234134202322.

It is not a de Polignac number, because 2232024314325 - 22 = 2232024314321 is a prime.

It is a super-3 number, since 3×22320243143253 (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 (2232024314321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882805 + ... + 2289845.

It is an arithmetic number, because the mean of its divisors is an integer number (82845694932).

Almost surely, 22232024314325 is an apocalyptic number.

2232024314325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2232024314325 is a deficient number, since it is larger than the sum of its proper divisors (1744569042411).

2232024314325 is a wasteful number, since it uses less digits than its factorization.

2232024314325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408694 (or 1408689 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 2232024314325 its reverse (5234134202322), we get a palindrome (7466158516647).

It can be divided in two parts, 223202431 and 4325, that added together give a triangular number (223206756 = T21128).

The spelling of 2232024314325 in words is "two trillion, two hundred thirty-two billion, twenty-four million, three hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 975 1627 4881 8135 21151 24405 40675 63453 105755 122025 317265 528775 1407041 1586325 4221123 7035205 18291533 21105615 35176025 54874599 91457665 105528075 274372995 457288325 1371864975 2289255707 6867767121 11446278535 29760324191 34338835605 57231392675 89280972573 148801620955 171694178025 446404862865 744008104775 2232024314325