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2252233011 = 3737329983
BaseRepresentation
bin1000011000111110…
…0101100100110011
312210221222021212110
42012033211210303
514103032424021
61011253100403
7106545444000
oct20617454463
95727867773
102252233011
11a56365aa6
1252a327703
1329b7bc272
141751968a7
15d2ad8476
hex863e5933

2252233011 has 32 divisors (see below), whose sum is σ = 3550105600. Its totient is φ = 1269317952.

The previous prime is 2252232977. The next prime is 2252233043. The reversal of 2252233011 is 1103322522.

2252233011 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2252233011 - 210 = 2252231987 is a prime.

It is a super-2 number, since 2×22522330112 = 10145107071676252242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2252213011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60126 + ... + 90108.

It is an arithmetic number, because the mean of its divisors is an integer number (110940800).

Almost surely, 22252233011 is an apocalyptic number.

2252233011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2252233011 is a deficient number, since it is larger than the sum of its proper divisors (1297872589).

2252233011 is an equidigital number, since it uses as much as digits as its factorization.

2252233011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30080 (or 30066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2252233011 is about 47457.6970680205. The cubic root of 2252233011 is about 1310.8040459520.

Adding to 2252233011 its reverse (1103322522), we get a palindrome (3355555533).

The spelling of 2252233011 in words is "two billion, two hundred fifty-two million, two hundred thirty-three thousand, eleven".

Divisors: 1 3 7 21 49 73 147 219 343 511 1029 1533 3577 10731 25039 29983 75117 89949 209881 629643 1469167 2188759 4407501 6566277 10284169 15321313 30852507 45963939 107249191 321747573 750744337 2252233011