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1122294292 = 2272353131251
BaseRepresentation
bin100001011100100…
…1101101000010100
32220012210110100021
41002321031220110
54244301404132
6303210354524
736545226010
oct10271155024
92805713307
101122294292
11526562349
12273a2ba44
1314b688482
14a90a3540
15687db997
hex42e4da14

1122294292 has 96 divisors (see below), whose sum is σ = 2414168064. Its totient is φ = 446160000.

The previous prime is 1122294263. The next prime is 1122294293. The reversal of 1122294292 is 2924922211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122294293) by changing a digit.

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, 4471167 + ... + 4471417.

It is an arithmetic number, because the mean of its divisors is an integer number (25147584).

Almost surely, 21122294292 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 1122294292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207084032).

1122294292 is an abundant number, since it is smaller than the sum of its proper divisors (1291873772).

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

1122294292 is a wasteful number, since it uses less digits than its factorization.

1122294292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 1122294292 is about 33500.6610681043. The cubic root of 1122294292 is about 1039.2074496775.

The spelling of 1122294292 in words is "one billion, one hundred twenty-two million, two hundred ninety-four thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 23 28 46 53 92 106 131 161 212 251 262 322 371 502 524 644 742 917 1004 1219 1484 1757 1834 2438 3013 3514 3668 4876 5773 6026 6943 7028 8533 11546 12052 13303 13886 17066 21091 23092 26606 27772 32881 34132 40411 42182 48601 53212 65762 80822 84364 93121 97202 131524 159689 161644 186242 194404 230167 305969 319378 372484 460334 611938 638756 756263 920668 1117823 1223876 1512526 1742693 2141783 2235646 3025052 3485386 4283566 4471292 5293841 6970772 8567132 10587682 12198851 21175364 24397702 40081939 48795404 80163878 160327756 280573573 561147146 1122294292