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BaseRepresentation
bin100010100001001…
…0001111011000000
32222201101221211110
41011002101323000
54333001204400
6310532443320
740462520010
oct10502217300
92881357743
101158225600
11544874044
12283a79540
13155c590bc
156ba37e50
hex45091ec0

1158225600 has 168 divisors, whose sum is σ = 4342920448. Its totient is φ = 264729600.

The previous prime is 1158225599. The next prime is 1158225611. The reversal of 1158225600 is 65228511.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16365 + ... + 50835.

Almost surely, 21158225600 is an apocalyptic number.

1158225600 is a gapful number since it is divisible by the number (10) 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 1158225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171460224).

1158225600 is an abundant number, since it is smaller than the sum of its proper divisors (3184694848).

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

1158225600 is a wasteful number, since it uses less digits than its factorization.

1158225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34503 (or 34488 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1158225600 is about 34032.7136737581. The cubic root of 1158225600 is about 1050.1815559069.

The spelling of 1158225600 in words is "one billion, one hundred fifty-eight million, two hundred twenty-five thousand, six hundred".