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2025253206 = 23419897393
BaseRepresentation
bin111100010110110…
…1110100101010110
312020010212112010000
41320231232211112
513121431100311
6532544112130
7101121240204
oct17055564526
95203775100
102025253206
1194a225789
12486305646
132637798a2
14152d90074
15bcc00056
hex78b6e956

2025253206 has 80 divisors (see below), whose sum is σ = 4831239600. Its totient is φ = 632282112.

The previous prime is 2025253199. The next prime is 2025253207. The reversal of 2025253206 is 6023525202.

2025253206 is a `hidden beast` number, since 202 + 5 + 253 + 206 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2025253206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025253207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270246 + ... + 277638.

It is an arithmetic number, because the mean of its divisors is an integer number (60390495).

Almost surely, 22025253206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025253206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415619800).

2025253206 is an abundant number, since it is smaller than the sum of its proper divisors (2805986394).

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

2025253206 is a wasteful number, since it uses less digits than its factorization.

2025253206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2025253206 is about 45002.8133120586. The cubic root of 2025253206 is about 1265.2017271652.

Adding to 2025253206 its reverse (6023525202), we get a palindrome (8048778408).

The spelling of 2025253206 in words is "two billion, twenty-five million, two hundred fifty-three thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 89 114 162 171 178 267 342 513 534 801 1026 1539 1602 1691 2403 3078 3382 4806 5073 7209 7393 10146 14418 14786 15219 22179 30438 44358 45657 66537 91314 133074 136971 140467 199611 273942 280934 399222 421401 598833 657977 842802 1197666 1264203 1315954 1973931 2528406 3792609 3947862 5921793 7585218 11377827 11843586 12501563 17765379 22755654 25003126 35530758 37504689 53296137 75009378 106592274 112514067 225028134 337542201 675084402 1012626603 2025253206