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2212144020 = 223454193259
BaseRepresentation
bin1000001111011010…
…1010001110010100
312201011112120010000
42003312222032110
514012302102040
61003301531300
7105550625322
oct20366521624
95634476100
102212144020
11a357745a9
12518a13b30
132933c4078
1416db1cd12
15ce31a130
hex83daa394

2212144020 has 120 divisors (see below), whose sum is σ = 6958274400. Its totient is φ = 588316608.

The previous prime is 2212144009. The next prime is 2212144063. The reversal of 2212144020 is 204412122.

2212144020 is a `hidden beast` number, since 221 + 2 + 1 + 440 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212143984 and 2212144002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 677151 + ... + 680409.

It is an arithmetic number, because the mean of its divisors is an integer number (57985620).

Almost surely, 22212144020 is an apocalyptic number.

2212144020 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 2212144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479137200).

2212144020 is an abundant number, since it is smaller than the sum of its proper divisors (4746130380).

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

2212144020 is a wasteful number, since it uses less digits than its factorization.

2212144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2212144020 is about 47033.4351286401. The cubic root of 2212144020 is about 1302.9801492118.

Adding to 2212144020 its reverse (204412122), we get a palindrome (2416556142).

The spelling of 2212144020 in words is "two billion, two hundred twelve million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 419 540 810 838 1257 1620 1676 2095 2514 3259 3771 4190 5028 6285 6518 7542 8380 9777 11313 12570 13036 15084 16295 18855 19554 22626 25140 29331 32590 33939 37710 39108 45252 48885 56565 58662 65180 67878 75420 87993 97770 113130 117324 135756 146655 169695 175986 195540 226260 263979 293310 339390 351972 439965 527958 586620 678780 879930 1055916 1319895 1365521 1759860 2639790 2731042 4096563 5279580 5462084 6827605 8193126 12289689 13655210 16386252 20482815 24579378 27310420 36869067 40965630 49158756 61448445 73738134 81931260 110607201 122896890 147476268 184345335 221214402 245793780 368690670 442428804 553036005 737381340 1106072010 2212144020