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1222512768 = 273210310303
BaseRepresentation
bin100100011011110…
…0001000010000000
310011012101002020200
41020313201002000
510000430402033
6321150405200
742203121111
oct11067410200
93135332220
101222512768
11578092a34
122a1500800
13166377549
14b8510208
15724d6013
hex48de1080

1222512768 has 96 divisors (see below), whose sum is σ = 3552407040. Its totient is φ = 403508736.

The previous prime is 1222512751. The next prime is 1222512769. The reversal of 1222512768 is 8672152221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1222512769) 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, 113505 + ... + 123807.

It is an arithmetic number, because the mean of its divisors is an integer number (37004240).

Almost surely, 21222512768 is an apocalyptic number.

1222512768 is a gapful number since it is divisible by the number (18) 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 1222512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776203520).

1222512768 is an abundant number, since it is smaller than the sum of its proper divisors (2329894272).

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

1222512768 is a wasteful number, since it uses less digits than its factorization.

1222512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10411 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1222512768 is about 34964.4500600253. The cubic root of 1222512768 is about 1069.2628247004.

Adding to 1222512768 its reverse (8672152221), we get a palindrome (9894664989).

The spelling of 1222512768 in words is "one billion, two hundred twenty-two million, five hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 288 309 384 412 576 618 824 927 1152 1236 1648 1854 2472 3296 3708 4944 6592 7416 9888 10303 13184 14832 19776 20606 29664 30909 39552 41212 59328 61818 82424 92727 118656 123636 164848 185454 247272 329696 370908 494544 659392 741816 989088 1061209 1318784 1483632 1978176 2122418 2967264 3183627 3956352 4244836 5934528 6367254 8489672 9550881 11869056 12734508 16979344 19101762 25469016 33958688 38203524 50938032 67917376 76407048 101876064 135834752 152814096 203752128 305628192 407504256 611256384 1222512768