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2256245511 = 313971633659
BaseRepresentation
bin1000011001111011…
…1001001100000111
312211020112010222120
42012132321030013
514110044324021
61011515101023
7106624525152
oct20636711407
95736463876
102256245511
11a58656713
1252b741773
1329c595720
1417591cc99
15d312c2c6
hex867b9307

2256245511 has 32 divisors (see below), whose sum is σ = 3294117120. Its totient is φ = 1365341184.

The previous prime is 2256245507. The next prime is 2256245521. The reversal of 2256245511 is 1155426522.

2256245511 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 2256245511 - 22 = 2256245507 is a prime.

It is a super-2 number, since 2×22562455112 = 10181287611815302242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256245521) 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, 614800 + ... + 618458.

It is an arithmetic number, because the mean of its divisors is an integer number (102941160).

Almost surely, 22256245511 is an apocalyptic number.

2256245511 is a deficient number, since it is larger than the sum of its proper divisors (1037871609).

2256245511 is a wasteful number, since it uses less digits than its factorization.

2256245511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935.

The product of its digits is 24000, while the sum is 33.

The square root of 2256245511 is about 47499.9527473449. The cubic root of 2256245511 is about 1311.5820117687.

The spelling of 2256245511 in words is "two billion, two hundred fifty-six million, two hundred forty-five thousand, five hundred eleven".

Divisors: 1 3 13 39 97 163 291 489 1261 2119 3659 3783 6357 10977 15811 47433 47567 142701 205543 354923 596417 616629 1064769 1789251 4613999 7753421 13841997 23260263 57852449 173557347 752081837 2256245511