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1122663264 = 25331243283
BaseRepresentation
bin100001011101010…
…0111101101100000
32220020111012110220
41002322213231200
54244400211024
6303222323040
736551323512
oct10272475540
92806435426
101122663264
11526794588
12273b89480
1314b7873b8
14a915bbb2
1568860e79
hex42ea7b60

1122663264 has 144 divisors (see below), whose sum is σ = 3126949056. Its totient is φ = 352477440.

The previous prime is 1122663263. The next prime is 1122663301. The reversal of 1122663264 is 4623662211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122663263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3966867 + ... + 3967149.

It is an arithmetic number, because the mean of its divisors is an integer number (21714924).

Almost surely, 21122663264 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 1122663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563474528).

1122663264 is an abundant number, since it is smaller than the sum of its proper divisors (2004285792).

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

1122663264 is a wasteful number, since it uses less digits than its factorization.

1122663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 362 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 1122663264 is about 33506.1675516613. The cubic root of 1122663264 is about 1039.3213224947.

The spelling of 1122663264 in words is "one billion, one hundred twenty-two million, six hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 86 93 96 124 129 172 186 248 258 283 344 372 496 516 566 688 744 849 961 992 1032 1132 1333 1376 1488 1698 1922 2064 2264 2666 2883 2976 3396 3844 3999 4128 4528 5332 5766 6792 7688 7998 8773 9056 10664 11532 12169 13584 15376 15996 17546 21328 23064 24338 26319 27168 30752 31992 35092 36507 41323 42656 46128 48676 52638 63984 70184 73014 82646 92256 97352 105276 123969 127968 140368 146028 165292 194704 210552 247938 271963 280736 292056 330584 377239 389408 421104 495876 543926 584112 661168 754478 815889 842208 991752 1087852 1131717 1168224 1322336 1508956 1631778 1983504 2175704 2263434 3017912 3263556 3967008 4351408 4526868 6035824 6527112 8702816 9053736 11694409 12071648 13054224 18107472 23388818 26108448 35083227 36214944 46777636 70166454 93555272 140332908 187110544 280665816 374221088 561331632 1122663264