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22223413010120 = 2357263946331891
BaseRepresentation
bin1010000110110010010101…
…01000110101111011001000
32220200112111212022012002012
411003121022220311323020
510403102022212310440
6115133143415155052
74452405614542460
oct503311250657310
986615455265065
1022223413010120
117098995310063
1225ab068075a88
13c528746716ca
1456b8944aaba0
152881369cae65
hex14364aa35ec8

22223413010120 has 128 divisors (see below), whose sum is σ = 57371064791040. Its totient is φ = 7589444463360.

The previous prime is 22223413010083. The next prime is 22223413010129. The reversal of 22223413010120 is 2101031432222.

It is not an unprimeable number, because it can be changed into a prime (22223413010129) 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, 696839375 + ... + 696871265.

It is an arithmetic number, because the mean of its divisors is an integer number (448211443680).

Almost surely, 222223413010120 is an apocalyptic number.

22223413010120 is a gapful number since it is divisible by the number (20) 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 22223413010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685532395520).

22223413010120 is an abundant number, since it is smaller than the sum of its proper divisors (35147651780920).

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

22223413010120 is a wasteful number, since it uses less digits than its factorization.

22223413010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41635 (or 41631 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22223413010120 its reverse (2101031432222), we get a palindrome (24324444442342).

The spelling of 22223413010120 in words is "twenty-two trillion, two hundred twenty-three billion, four hundred thirteen million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 263 280 526 1052 1315 1841 2104 2630 3682 5260 7364 9205 9463 10520 14728 18410 18926 31891 36820 37852 47315 63782 66241 73640 75704 94630 127564 132482 159455 189260 223237 255128 264964 318910 331205 378520 446474 529928 637820 662410 892948 1116185 1275640 1324820 1785896 2232370 2488769 2649640 4464740 4977538 8387333 8929480 9955076 12443845 16774666 17421383 19910152 24887690 33549332 34842766 41936665 49775380 58711331 67098664 69685532 83873330 87106915 99550760 117422662 139371064 167746660 174213830 234845324 293556655 301784533 335493320 348427660 469690648 587113310 603569066 696855320 1174226620 1207138132 1508922665 2112491731 2348453240 2414276264 3017845330 4224983462 6035690660 8449966924 10562458655 12071381320 16899933848 21124917310 42249834620 79369332179 84499669240 158738664358 317477328716 396846660895 555585325253 634954657432 793693321790 1111170650506 1587386643580 2222341301012 2777926626265 3174773287160 4444682602024 5555853252530 11111706505060 22223413010120