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2102222012 = 2211432394649
BaseRepresentation
bin111110101001101…
…0101110010111100
312102111200221110112
41331103111302330
513301132101022
6544333525152
7103044410102
oct17523256274
95374627415
102102222012
11989716570
124a80437b8
132766b8367
1415d2a7c72
15c48558e2
hex7d4d5cbc

2102222012 has 48 divisors (see below), whose sum is σ = 4124736000. Its totient is φ = 929228160.

The previous prime is 2102221991. The next prime is 2102222021.

2102222012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449864 + ... + 454512.

It is an arithmetic number, because the mean of its divisors is an integer number (85932000).

Almost surely, 22102222012 is an apocalyptic number.

2102222012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2102222012 is a deficient number, since it is larger than the sum of its proper divisors (2022513988).

2102222012 is a wasteful number, since it uses less digits than its factorization.

2102222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4944 counting only the distinct ones).

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

The square root of 2102222012 is about 45849.9946782985. The cubic root of 2102222012 is about 1281.0306664582.

It can be divided in two parts, 21022 and 22012, that added together give a palindrome (43034).

The spelling of 2102222012 in words is "two billion, one hundred two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 11 22 43 44 86 172 239 473 478 946 956 1892 2629 4649 5258 9298 10277 10516 18596 20554 41108 51139 102278 113047 199907 204556 226094 399814 452188 799628 1111111 2198977 2222222 4397954 4444444 8795908 12222221 24444442 47777773 48888884 95555546 191111092 525555503 1051111006 2102222012