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22404817116 = 223211313674973
BaseRepresentation
bin10100110111011011…
…100110000011011100
32010211102121122011100
4110313123212003130
5331341113121431
614143112553100
71422132542343
oct246733460334
963742548140
1022404817116
119557a31790
1244133b2790
13216098c046
14112783ab5a
158b1e444e6
hex5376e60dc

22404817116 has 144 divisors (see below), whose sum is σ = 63962615808. Its totient is φ = 6551107200.

The previous prime is 22404817087. The next prime is 22404817133. The reversal of 22404817116 is 61171840422.

It is a happy number.

22404817116 is a `hidden beast` number, since 22 + 40 + 481 + 7 + 116 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4502806 + ... + 4507778.

It is an arithmetic number, because the mean of its divisors is an integer number (444184832).

Almost surely, 222404817116 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 22404817116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981307904).

22404817116 is an abundant number, since it is smaller than the sum of its proper divisors (41557798692).

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

22404817116 is a wasteful number, since it uses less digits than its factorization.

22404817116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22404817116 in words is "twenty-two billion, four hundred four million, eight hundred seventeen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 367 372 396 558 682 734 1023 1101 1116 1364 1468 2046 2202 3069 3303 4037 4092 4404 4973 6138 6606 8074 9946 11377 12111 12276 13212 14919 16148 19892 22754 24222 29838 34131 36333 44757 45508 48444 54703 59676 68262 72666 89514 102393 109406 125147 136524 145332 154163 164109 179028 204786 218812 250294 308326 328218 375441 409572 462489 492327 500588 616652 656436 750882 924978 984654 1126323 1387467 1501764 1695793 1825091 1849956 1969308 2252646 2774934 3391586 3650182 4505292 5087379 5475273 5549868 6783172 7300364 10174758 10950546 15262137 16425819 20076001 20349516 21901092 30524274 32851638 40152002 56577821 60228003 61048548 65703276 80304004 113155642 120456006 169733463 180684009 226311284 240912012 339466926 361368018 509200389 622356031 678933852 722736036 1018400778 1244712062 1867068093 2036801556 2489424124 3734136186 5601204279 7468272372 11202408558 22404817116