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2250027252 = 22321125122637
BaseRepresentation
bin1000011000011100…
…1011000011110100
312210210211020010200
42012013023003310
514102001333002
61011133520500
7106520626134
oct20607130364
95723736120
102250027252
11a55099860
12529643130
1329b1c9295
14174b80ac4
15d27eeb1c
hex861cb0f4

2250027252 has 72 divisors (see below), whose sum is σ = 6229615392. Its totient is φ = 679080000.

The previous prime is 2250027251. The next prime is 2250027271. The reversal of 2250027252 is 2527200522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250027251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88078 + ... + 110714.

It is an arithmetic number, because the mean of its divisors is an integer number (86522436).

Almost surely, 22250027252 is an apocalyptic number.

2250027252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250027252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114807696).

2250027252 is an abundant number, since it is smaller than the sum of its proper divisors (3979588140).

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

2250027252 is a wasteful number, since it uses less digits than its factorization.

2250027252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22909 (or 22904 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2250027252 is about 47434.4521629585. The cubic root of 2250027252 is about 1310.3759874864.

Adding to 2250027252 its reverse (2527200522), we get a palindrome (4777227774).

The spelling of 2250027252 in words is "two billion, two hundred fifty million, twenty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 251 396 502 753 1004 1506 2259 2761 3012 4518 5522 8283 9036 11044 16566 22637 24849 33132 45274 49698 67911 90548 99396 135822 203733 249007 271644 407466 498014 747021 814932 996028 1494042 2241063 2988084 4482126 5681887 8964252 11363774 17045661 22727548 34091322 51136983 62500757 68182644 102273966 125001514 187502271 204547932 250003028 375004542 562506813 750009084 1125013626 2250027252