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1222768080 = 243251698289
BaseRepresentation
bin100100011100001…
…1111010111010000
310011012212001110200
41020320133113100
510001012034310
6321200055200
742205233342
oct11070372720
93135761420
101222768080
11578247836
122a1604500
13166436811
14b8579292
15725369c0
hex48e1f5d0

1222768080 has 60 divisors (see below), whose sum is σ = 4106465220. Its totient is φ = 326071296.

The previous prime is 1222768007. The next prime is 1222768087. The reversal of 1222768080 is 808672221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 443018304 + 779749776 = 21048^2 + 27924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222768087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 848425 + ... + 849864.

It is an arithmetic number, because the mean of its divisors is an integer number (68441087).

Almost surely, 21222768080 is an apocalyptic number.

1222768080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222768080 is an abundant number, since it is smaller than the sum of its proper divisors (2883697140).

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

1222768080 is a wasteful number, since it uses less digits than its factorization.

1222768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698308 (or 1698299 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1222768080 is about 34968.1008920988. The cubic root of 1222768080 is about 1069.3372551782.

The spelling of 1222768080 in words is "one billion, two hundred twenty-two million, seven hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1698289 3396578 5094867 6793156 8491445 10189734 13586312 15284601 16982890 20379468 25474335 27172624 30569202 33965780 40758936 50948670 61138404 67931560 76423005 81517872 101897340 122276808 135863120 152846010 203794680 244553616 305692020 407589360 611384040 1222768080