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252020250 = 232531011109
BaseRepresentation
bin11110000010110…
…00011000011010
3122120012221210100
433001120120122
51004004122000
641001400230
76150064626
oct1701303032
9576187710
10252020250
1111a2935a9
1270499076
134029c111
1425684186
15171d2a00
hexf05861a

252020250 has 96 divisors (see below), whose sum is σ = 688830480. Its totient is φ = 66480000.

The previous prime is 252020243. The next prime is 252020261. The reversal of 252020250 is 52020252.

It can be written as a sum of positive squares in 8 ways, for example, as 5184729 + 246835521 = 2277^2 + 15711^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226696 + ... + 227804.

Almost surely, 2252020250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252020250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344415240).

252020250 is an abundant number, since it is smaller than the sum of its proper divisors (436810230).

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

252020250 is a wasteful number, since it uses less digits than its factorization.

252020250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252020250 is about 15875.1456686230. The cubic root of 252020250 is about 631.6528781328.

It can be divided in two parts, 2520202 and 50, that added together give a palindrome (2520252).

The spelling of 252020250 in words is "two hundred fifty-two million, twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 125 150 202 225 250 303 375 450 505 606 750 909 1010 1109 1125 1515 1818 2218 2250 2525 3030 3327 4545 5050 5545 6654 7575 9090 9981 11090 12625 15150 16635 19962 22725 25250 27725 33270 37875 45450 49905 55450 75750 83175 99810 112009 113625 138625 166350 224018 227250 249525 277250 336027 415875 499050 560045 672054 831750 1008081 1120090 1247625 1680135 2016162 2495250 2800225 3360270 5040405 5600450 8400675 10080810 14001125 16801350 25202025 28002250 42003375 50404050 84006750 126010125 252020250