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11229230592 = 293217294943
BaseRepresentation
bin10100111010101000…
…00111011000000000
31001222120210000111100
422131110013120000
5140444140334332
65054133214400
7545161612416
oct123524073000
931876700440
1011229230592
114842676168
122214791400
13109c577658
147875012b6
1545ac6e67c
hex29d507600

11229230592 has 240 divisors, whose sum is σ = 35505138240. Its totient is φ = 3400728576.

The previous prime is 11229230581. The next prime is 11229230627. The reversal of 11229230592 is 29503292211.

11229230592 is a `hidden beast` number, since 1 + 12 + 29 + 2 + 30 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269273 + ... + 2274215.

It is an arithmetic number, because the mean of its divisors is an integer number (147938076).

Almost surely, 211229230592 is an apocalyptic number.

11229230592 is a gapful number since it is divisible by the number (12) 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 11229230592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752569120).

11229230592 is an abundant number, since it is smaller than the sum of its proper divisors (24275907648).

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

11229230592 is a wasteful number, since it uses less digits than its factorization.

11229230592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 112292 and 30592, that added together give a square (142884 = 3782).

The spelling of 11229230592 in words is "eleven billion, two hundred twenty-nine million, two hundred thirty thousand, five hundred ninety-two".