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1222764768 = 25331415237
BaseRepresentation
bin100100011100001…
…1110100011100000
310011012211212221000
41020320132203200
510001011433033
6321200032000
742205220601
oct11070364340
93135755830
101222764768
115782452a5
122a1602600
13166435164
14b8577da8
1572535a13
hex48e1e8e0

1222764768 has 48 divisors (see below), whose sum is σ = 3566399760. Its totient is φ = 407587968.

The previous prime is 1222764761. The next prime is 1222764773. The reversal of 1222764768 is 8674672221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222764761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 706755 + ... + 708482.

It is an arithmetic number, because the mean of its divisors is an integer number (74299995).

Almost surely, 21222764768 is an apocalyptic number.

1222764768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1222764768 is an abundant number, since it is smaller than the sum of its proper divisors (2343634992).

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

1222764768 is a wasteful number, since it uses less digits than its factorization.

1222764768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415256 (or 1415242 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1222764768 is about 34968.0535346193. The cubic root of 1222764768 is about 1069.3362897053.

The spelling of 1222764768 in words is "one billion, two hundred twenty-two million, seven hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1415237 2830474 4245711 5660948 8491422 11321896 12737133 16982844 22643792 25474266 33965688 38211399 45287584 50948532 67931376 76422798 101897064 135862752 152845596 203794128 305691192 407588256 611382384 1222764768