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22201120 = 2551967109
BaseRepresentation
bin101010010110…
…0001100100000
31112202221012201
41110230030200
521140413440
62111502544
7356464204
oct124541440
945687181
1022201120
1111594037
127527a54
1347a4276
142d3cb04
151e3819a
hex152c320

22201120 has 96 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 8211456.

The previous prime is 22201111. The next prime is 22201121. The reversal of 22201120 is 2110222.

It is a super-3 number, since 3×222011203 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22201097 and 22201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203626 + ... + 203734.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 222201120 is an apocalyptic number.

22201120 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 22201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).

22201120 is an abundant number, since it is smaller than the sum of its proper divisors (34347680).

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

22201120 is a wasteful number, since it uses less digits than its factorization.

22201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22201120 is about 4711.8064476377. The cubic root of 22201120 is about 281.0552020659.

Adding to 22201120 its reverse (2110222), we get a palindrome (24311342).

The spelling of 22201120 in words is "twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 67 76 80 95 109 134 152 160 190 218 268 304 335 380 436 536 545 608 670 760 872 1072 1090 1273 1340 1520 1744 2071 2144 2180 2546 2680 3040 3488 4142 4360 5092 5360 6365 7303 8284 8720 10184 10355 10720 12730 14606 16568 17440 20368 20710 25460 29212 33136 36515 40736 41420 50920 58424 66272 73030 82840 101840 116848 138757 146060 165680 203680 233696 277514 292120 331360 555028 584240 693785 1110056 1168480 1387570 2220112 2775140 4440224 5550280 11100560 22201120