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1220301264 = 243713337829
BaseRepresentation
bin100100010111100…
…0101000111010000
310011001012201122010
41020233011013100
54444344120024
6321031142520
742145250430
oct11057050720
93131181563
101220301264
11576912446
122a0814a40
13165a81a70
14b80d62c0
15721eab29
hex48bc51d0

1220301264 has 160 divisors (see below), whose sum is σ = 3896139520. Its totient is φ = 320495616.

The previous prime is 1220301253. The next prime is 1220301281. The reversal of 1220301264 is 4621030221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1220301264.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1471602 + ... + 1472430.

It is an arithmetic number, because the mean of its divisors is an integer number (24350872).

Almost surely, 21220301264 is an apocalyptic number.

1220301264 is a gapful number since it is divisible by the number (14) 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 1220301264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948069760).

1220301264 is an abundant number, since it is smaller than the sum of its proper divisors (2675838256).

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

1220301264 is a wasteful number, since it uses less digits than its factorization.

1220301264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1220301264 is about 34932.8107085588. The cubic root of 1220301264 is about 1068.6176763366.

Adding to 1220301264 its reverse (4621030221), we get a palindrome (5841331485).

The spelling of 1220301264 in words is "one billion, two hundred twenty million, three hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 337 364 546 624 674 728 829 1011 1092 1348 1456 1658 2022 2184 2359 2487 2696 3316 4044 4368 4381 4718 4974 5392 5803 6632 7077 8088 8762 9436 9948 10777 11606 13143 13264 14154 16176 17409 17524 18872 19896 21554 23212 26286 28308 30667 32331 34818 35048 37744 39792 43108 46424 52572 56616 61334 64662 69636 70096 75439 86216 92001 92848 105144 113232 122668 129324 139272 150878 172432 184002 210288 226317 245336 258648 278544 279373 301756 368004 452634 490672 517296 558746 603512 736008 838119 905268 1117492 1207024 1472016 1676238 1810536 1955611 2234984 3352476 3621072 3631849 3911222 4469968 5866833 6704952 7263698 7822444 10895547 11733666 13409904 14527396 15644888 21791094 23467332 25422943 29054792 31289776 43582188 46934664 50845886 58109584 76268829 87164376 93869328 101691772 152537658 174328752 203383544 305075316 406767088 610150632 1220301264