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1222560768 = 21031131323
BaseRepresentation
bin100100011011110…
…1100110000000000
310011012110112002110
41020313230300000
510000433421033
6321151415320
742203411052
oct11067546000
93135415073
101222560768
11578116000
122a1524540
13166393350
14b85238d2
15724e5363
hex48decc00

1222560768 has 352 divisors, whose sum is σ = 4027709952. Its totient is φ = 327106560.

The previous prime is 1222560767. The next prime is 1222560769. The reversal of 1222560768 is 8670652221.

It is an interprime number because it is at equal distance from previous prime (1222560767) and next prime (1222560769).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222560761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53154805 + ... + 53154827.

Almost surely, 21222560768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013854976).

1222560768 is an abundant number, since it is smaller than the sum of its proper divisors (2805149184).

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

1222560768 is a wasteful number, since it uses less digits than its factorization.

1222560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1222560768 is about 34965.1364647702. The cubic root of 1222560768 is about 1069.2768188130.

The spelling of 1222560768 in words is "one billion, two hundred twenty-two million, five hundred sixty thousand, seven hundred sixty-eight".