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2023256250 = 2325535969
BaseRepresentation
bin111100010011000…
…0111000010111010
312020000010001210200
41320212013002322
513120423200000
6532433223030
7101065252161
oct17046070272
95200101720
102023256250
11949091404
12485701a76
1326322a962
141529d03d8
15bc958500
hex789870ba

2023256250 has 72 divisors (see below), whose sum is σ = 5479453980. Its totient is φ = 539520000.

The previous prime is 2023256239. The next prime is 2023256251. The reversal of 2023256250 is 526523202.

2023256250 is a `hidden beast` number, since 2 + 0 + 2 + 32 + 5 + 625 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17918289 + 2005337961 = 4233^2 + 44781^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2023256251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38266 + ... + 74234.

Almost surely, 22023256250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023256250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739726990).

2023256250 is an abundant number, since it is smaller than the sum of its proper divisors (3456197730).

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

2023256250 is an equidigital number, since it uses as much as digits as its factorization.

2023256250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36002 (or 35979 counting only the distinct ones).

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

The square root of 2023256250 is about 44980.6208271962. The cubic root of 2023256250 is about 1264.7857490470.

Adding to 2023256250 its reverse (526523202), we get a palindrome (2549779452).

The spelling of 2023256250 in words is "two billion, twenty-three million, two hundred fifty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 3125 3750 5625 6250 9375 11250 18750 28125 35969 56250 71938 107907 179845 215814 323721 359690 539535 647442 899225 1079070 1618605 1798450 2697675 3237210 4496125 5395350 8093025 8992250 13488375 16186050 22480625 26976750 40465125 44961250 67441875 80930250 112403125 134883750 202325625 224806250 337209375 404651250 674418750 1011628125 2023256250