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2221220120 = 235746716987
BaseRepresentation
bin1000010001100101…
…0010000100011000
312201210121200011212
42010121102010120
514022113020440
61004224242252
7106021026260
oct20431220430
95653550155
102221220120
11a3a903609
1251ba70388
13295251242
141710027a0
15d000e465
hex84652118

2221220120 has 64 divisors (see below), whose sum is σ = 5724276480. Its totient is φ = 759885696.

The previous prime is 2221220107. The next prime is 2221220123. The reversal of 2221220120 is 210221222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2221220095 and 2221220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221220123) 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, 122267 + ... + 139253.

It is an arithmetic number, because the mean of its divisors is an integer number (89441820).

Almost surely, 22221220120 is an apocalyptic number.

2221220120 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 2221220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862138240).

2221220120 is an abundant number, since it is smaller than the sum of its proper divisors (3503056360).

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

2221220120 is a wasteful number, since it uses less digits than its factorization.

2221220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17472 (or 17468 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2221220120 is about 47129.8219814164. The cubic root of 2221220120 is about 1304.7596960190.

Adding to 2221220120 its reverse (210221222), we get a palindrome (2431441342).

The spelling of 2221220120 in words is "two billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 467 934 1868 2335 3269 3736 4670 6538 9340 13076 16345 16987 18680 26152 32690 33974 65380 67948 84935 118909 130760 135896 169870 237818 339740 475636 594545 679480 951272 1189090 2378180 4756360 7932929 15865858 31731716 39664645 55530503 63463432 79329290 111061006 158658580 222122012 277652515 317317160 444244024 555305030 1110610060 2221220120