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2372262246225 = 385238032
BaseRepresentation
bin100010100001010101110…
…110010011011101010001
322101210020000221100000000
4202201111312103131101
5302331343113334400
65013445140520213
7333250604250204
oct42412566233521
98353200840000
102372262246225
11835086214233
123239159b0069
1314291b3c4451
1482b64c4993b
1541a946b2600
hex22855d93751

2372262246225 has 81 divisors (see below), whose sum is σ = 4413344094523. Its totient is φ = 1264873844880.

The previous prime is 2372262246143. The next prime is 2372262246229. The reversal of 2372262246225 is 5226422622732.

The square root of 2372262246225 is 1540215.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 854014408641 + 1518247837584 = 924129^2 + 1232172^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 2372262246225 - 215 = 2372262213457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2372262246229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 623785174 + ... + 623788976.

Almost surely, 22372262246225 is an apocalyptic number.

2372262246225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2372262246225 is the 1540215-th square number.

2372262246225 is the 770108-th centered octagonal number.

It is an amenable number.

2372262246225 is a deficient number, since it is larger than the sum of its proper divisors (2041081848298).

2372262246225 is an frugal number, since it uses more digits than its factorization.

2372262246225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 3811 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

Adding to 2372262246225 its reverse (5226422622732), we get a palindrome (7598684868957).

The spelling of 2372262246225 in words is "two trillion, three hundred seventy-two billion, two hundred sixty-two million, two hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 2187 3645 3803 6075 6561 10935 11409 18225 19015 32805 34227 54675 57045 95075 102681 164025 171135 285225 308043 513405 855675 924129 1540215 2567025 2772387 4620645 7701075 8317161 13861935 14462809 23103225 24951483 41585805 43388427 69309675 72314045 124757415 130165281 207929025 216942135 361570225 390495843 623787075 650826405 1084710675 1171487529 1952479215 3254132025 3514462587 5857437645 9762396075 10543387761 17572312935 29287188225 31630163283 52716938805 87861564675 94890489849 158150816415 263584694025 474452449245 790754082075 2372262246225