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1222663680 = 2933572192
BaseRepresentation
bin100100011100000…
…0101111000000000
310011012122202021000
41020320011320000
510001000214210
6321153532000
742204320100
oct11070057000
93135582230
101222663680
11578186357
122a1574000
131663cb144
14b854d200
1572515ac0
hex48e05e00

1222663680 has 720 divisors, whose sum is σ = 5331957840. Its totient is φ = 264757248.

The previous prime is 1222663679. The next prime is 1222663691. The reversal of 1222663680 is 863662221.

1222663680 is a `hidden beast` number, since 12 + 2 + 2 + 6 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12226636802 = 2989812948782284800, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64350711 + ... + 64350729.

It is an arithmetic number, because the mean of its divisors is an integer number (7405497).

Almost surely, 21222663680 is an apocalyptic number.

1222663680 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 1222663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665978920).

1222663680 is an abundant number, since it is smaller than the sum of its proper divisors (4109294160).

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

1222663680 is an equidigital number, since it uses as much as digits as its factorization.

1222663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1222663680 is about 34966.6080711298. The cubic root of 1222663680 is about 1069.3068209559.

The spelling of 1222663680 in words is "one billion, two hundred twenty-two million, six hundred sixty-three thousand, six hundred eighty".