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2222100012 = 22311232413037
BaseRepresentation
bin1000010001110010…
…1000111000101100
312201212021101011110
42010130220320230
514022324200022
61004255152020
7106031352456
oct20434507054
95655241143
102222100012
11a403546a0
12520215610
1329549b8a2
141711912d6
15d013500c
hex84728e2c

2222100012 has 96 divisors (see below), whose sum is σ = 5928620544. Its totient is φ = 641203200.

The previous prime is 2222099969. The next prime is 2222100029. The reversal of 2222100012 is 2100012222.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 730158 + ... + 733194.

It is an arithmetic number, because the mean of its divisors is an integer number (61756464).

Almost surely, 22222100012 is an apocalyptic number.

2222100012 is a gapful number since it is divisible by the number (22) 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 2222100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964310272).

2222100012 is an abundant number, since it is smaller than the sum of its proper divisors (3706520532).

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

2222100012 is a wasteful number, since it uses less digits than its factorization.

2222100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2222100012 is about 47139.1558261282. The cubic root of 2222100012 is about 1304.9319581089.

Adding to 2222100012 its reverse (2100012222), we get a palindrome (4322112234).

It can be divided in two parts, 222 and 2100012, that multiplied together give a palindrome (466202664).

The spelling of 2222100012 in words is "two billion, two hundred twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 241 253 276 482 506 723 759 964 1012 1446 1518 2651 2892 3036 3037 5302 5543 6074 7953 9111 10604 11086 12148 15906 16629 18222 22172 31812 33258 33407 36444 60973 66516 66814 69851 100221 121946 133628 139702 182919 200442 209553 243892 279404 365838 400884 419106 731676 731917 768361 838212 1463834 1536722 2195751 2305083 2927668 3073444 4391502 4610166 8051087 8783004 9220332 16102174 16834091 24153261 32204348 33668182 48306522 50502273 67336364 96613044 101004546 185175001 202009092 370350002 555525003 740700004 1111050006 2222100012