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1222555680 = 253451731179
BaseRepresentation
bin100100011011110…
…1011100000100000
310011012110021010000
41020313223200200
510000433240210
6321151340000
742203360163
oct11067534040
93135407100
101222555680
115781121a5
122a1521600
13166390c38
14b8521ada
15724e3ac0
hex48deb820

1222555680 has 480 divisors, whose sum is σ = 4742115840. Its totient is φ = 295280640.

The previous prime is 1222555679. The next prime is 1222555723. The reversal of 1222555680 is 865552221.

It is a happy number.

1222555680 is a `hidden beast` number, since 1 + 2 + 2 + 25 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 6829831 + ... + 6830009.

It is an arithmetic number, because the mean of its divisors is an integer number (9879408).

Almost surely, 21222555680 is an apocalyptic number.

1222555680 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 1222555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371057920).

1222555680 is an abundant number, since it is smaller than the sum of its proper divisors (3519560160).

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

1222555680 is a wasteful number, since it uses less digits than its factorization.

1222555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1222555680 is about 34965.0637065057. The cubic root of 1222555680 is about 1069.2753354544.

The spelling of 1222555680 in words is "one billion, two hundred twenty-two million, five hundred fifty-five thousand, six hundred eighty".