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22201201120 = 255728336997
BaseRepresentation
bin10100101011010010…
…110111000111100000
32010022020110212112011
4110223102313013200
5330432001413440
614111000442304
71414111044610
oct245322670740
963266425464
1022201201120
119462aa9aaa
124377179394
13212a739bc7
141108796a40
1589e1239ea
hex52b4b71e0

22201201120 has 96 divisors (see below), whose sum is σ = 59972971968. Its totient is φ = 7608066048.

The previous prime is 22201201117. The next prime is 22201201123. The reversal of 22201201120 is 2110210222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22201201117) and next prime (22201201123).

It is a self number, because there is not a number n which added to its sum of digits gives 22201201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3169462 + ... + 3176458.

It is an arithmetic number, because the mean of its divisors is an integer number (624718458).

Almost surely, 222201201120 is an apocalyptic number.

22201201120 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 22201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29986485984).

22201201120 is an abundant number, since it is smaller than the sum of its proper divisors (37771770848).

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

22201201120 is a wasteful number, since it uses less digits than its factorization.

22201201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22201201120 its reverse (2110210222), we get a palindrome (24311411342).

The spelling of 22201201120 in words is "twenty-two billion, two hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2833 5666 6997 11332 13994 14165 19831 22664 27988 28330 34985 39662 45328 48979 55976 56660 69970 79324 90656 97958 99155 111952 113320 139940 158648 195916 198310 223904 226640 244895 279880 317296 391832 396620 453280 489790 559760 634592 783664 793240 979580 1119520 1567328 1586480 1959160 3172960 3918320 7836640 19822501 39645002 79290004 99112505 138757507 158580008 198225010 277515014 317160016 396450020 555030028 634320032 693787535 792900040 1110060056 1387575070 1585800080 2220120112 2775150140 3171600160 4440240224 5550300280 11100600560 22201201120