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2222220120 = 2335293120599
BaseRepresentation
bin1000010001110100…
…0110001101011000
312201212111110220220
42010131012031120
514022342020440
61004301520040
7106032362601
oct20435061530
95655443826
102222220120
11a4042695a
12520273020
13295511463
141711c2da8
15d015a8d0
hex84746358

2222220120 has 128 divisors (see below), whose sum is σ = 7119360000. Its totient is φ = 553674240.

The previous prime is 2222220103. The next prime is 2222220137. The reversal of 2222220120 is 210222222.

It is an interprime number because it is at equal distance from previous prime (2222220103) and next prime (2222220137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2222220120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97581 + ... + 118179.

It is an arithmetic number, because the mean of its divisors is an integer number (55620000).

Almost surely, 22222220120 is an apocalyptic number.

2222220120 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 2222220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559680000).

2222220120 is an abundant number, since it is smaller than the sum of its proper divisors (4897139880).

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

2222220120 is a wasteful number, since it uses less digits than its factorization.

2222220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20673 (or 20669 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2222220120 is about 47140.4297816641. The cubic root of 2222220120 is about 1304.9554688934.

Adding to 2222220120 its reverse (210222222), we get a palindrome (2432442342).

The spelling of 2222220120 in words is "two billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 31 40 58 60 62 87 93 116 120 124 145 155 174 186 232 248 290 310 348 372 435 465 580 620 696 744 870 899 930 1160 1240 1740 1798 1860 2697 3480 3596 3720 4495 5394 7192 8990 10788 13485 17980 20599 21576 26970 35960 41198 53940 61797 82396 102995 107880 123594 164792 205990 247188 308985 411980 494376 597371 617970 638569 823960 1194742 1235940 1277138 1792113 1915707 2389484 2471880 2554276 2986855 3192845 3584226 3831414 4778968 5108552 5973710 6385690 7168452 7662828 8960565 9578535 11947420 12771380 14336904 15325656 17921130 18518501 19157070 23894840 25542760 35842260 37037002 38314140 55555503 71684520 74074004 76628280 92592505 111111006 148148008 185185010 222222012 277777515 370370020 444444024 555555030 740740040 1111110060 2222220120