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9228012480 = 26355118673
BaseRepresentation
bin10001001100000100…
…00100101111000000
3212211010010121100000
420212002010233000
5122344332344410
64123404200000
7444451545321
oct104602045700
925733117300
109228012480
113a05a773a5
121956539000
13b40a94a1b
1463780a448
1539021adc0
hex226084bc0

9228012480 has 168 divisors, whose sum is σ = 32916370032. Its totient is φ = 2460782592.

The previous prime is 9228012467. The next prime is 9228012499. The reversal of 9228012480 is 842108229.

9228012480 is a `hidden beast` number, since 92 + 2 + 80 + 12 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18424 + ... + 137096.

It is an arithmetic number, because the mean of its divisors is an integer number (195930774).

Almost surely, 29228012480 is an apocalyptic number.

9228012480 is a gapful number since it is divisible by the number (90) 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 9228012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458185016).

9228012480 is an abundant number, since it is smaller than the sum of its proper divisors (23688357552).

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

9228012480 is a wasteful number, since it uses less digits than its factorization.

9228012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118705 (or 118683 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9228012480 is about 96062.5446258842. The cubic root of 9228012480 is about 2097.5036459047.

The spelling of 9228012480 in words is "nine billion, two hundred twenty-eight million, twelve thousand, four hundred eighty".