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11222522664 = 23317236731777
BaseRepresentation
bin10100111001110101…
…00001101100101000
31001222010011012221120
422130322201230220
5140440431211124
65053333335240
7545050603653
oct123472415450
931863135846
1011222522664
114839904421
122212497520
13109b069372
1478667689a
1545a396d79
hex29cea1b28

11222522664 has 128 divisors (see below), whose sum is σ = 31061802240. Its totient is φ = 3360817152.

The previous prime is 11222522659. The next prime is 11222522669. The reversal of 11222522664 is 46622522211.

It is an interprime number because it is at equal distance from previous prime (11222522659) and next prime (11222522669).

It is not an unprimeable number, because it can be changed into a prime (11222522669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6314544 + ... + 6316320.

It is an arithmetic number, because the mean of its divisors is an integer number (242670330).

Almost surely, 211222522664 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 11222522664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530901120).

11222522664 is an abundant number, since it is smaller than the sum of its proper divisors (19839279576).

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

11222522664 is a wasteful number, since it uses less digits than its factorization.

11222522664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2495 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The spelling of 11222522664 in words is "eleven billion, two hundred twenty-two million, five hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 673 782 1173 1346 1564 1777 2019 2346 2692 3128 3554 4038 4692 5331 5384 7108 8076 9384 10662 11441 14216 15479 16152 21324 22882 30209 30958 34323 40871 42648 45764 46437 60418 61916 68646 81742 90627 91528 92874 120836 122613 123832 137292 163484 181254 185748 241672 245226 263143 274584 326968 362508 371496 490452 526286 694807 725016 789429 980904 1052572 1195921 1389614 1578858 2084421 2105144 2391842 2779228 3157716 3587763 4168842 4783684 5558456 6315432 7175526 8337684 9567368 14351052 16675368 20330657 27506183 28702104 40661314 55012366 60991971 81322628 82518549 110024732 121983942 162645256 165037098 220049464 243967884 330074196 467605111 487935768 660148392 935210222 1402815333 1870420444 2805630666 3740840888 5611261332 11222522664