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1225009500 = 2235311135711
BaseRepresentation
bin100100100000100…
…0010100101011100
310011101001221010020
41021001002211130
510002100301000
6321320112140
742233260161
oct11101024534
93141057106
101225009500
11579538850
122a2305650
13166a3cac0
14b89a0068
157282aba0
hex4904295c

1225009500 has 192 divisors, whose sum is σ = 4191602688. Its totient is φ = 274080000.

The previous prime is 1225009493. The next prime is 1225009501. The reversal of 1225009500 is 59005221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225009501) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 211645 + ... + 217355.

It is an arithmetic number, because the mean of its divisors is an integer number (21831264).

Almost surely, 21225009500 is an apocalyptic number.

1225009500 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 1225009500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095801344).

1225009500 is an abundant number, since it is smaller than the sum of its proper divisors (2966593188).

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

1225009500 is a wasteful number, since it uses less digits than its factorization.

1225009500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1225009500 is about 35000.1357140226. The cubic root of 1225009500 is about 1069.9902465120.

The spelling of 1225009500 in words is "one billion, two hundred twenty-five million, nine thousand, five hundred".