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216225522612 = 223211874162467
BaseRepresentation
bin1100100101100000001…
…0111010001110110100
3202200010010110122011100
43021120002322032310
512020312213210422
6243155503210100
721423161421441
oct3113002721664
9680103418140
10216225522612
1183778741520
1235aa55a6930
131750ba27728
14a672d9a9c8
155957b667ac
hex32580ba3b4

216225522612 has 72 divisors (see below), whose sum is σ = 596336019552. Its totient is φ = 65514340800.

The previous prime is 216225522563. The next prime is 216225522641.

216225522612 is a `hidden beast` number, since 2 + 1 + 622 + 5 + 5 + 2 + 26 + 1 + 2 = 666.

216225522612 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3430203 + ... + 3492669.

It is an arithmetic number, because the mean of its divisors is an integer number (8282444716).

Almost surely, 2216225522612 is an apocalyptic number.

216225522612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216225522612 is an abundant number, since it is smaller than the sum of its proper divisors (380110496940).

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

216225522612 is a wasteful number, since it uses less digits than its factorization.

216225522612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71229 (or 71224 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 216225 and 522612, that added together give a palindrome (738837).

The spelling of 216225522612 in words is "two hundred sixteen billion, two hundred twenty-five million, five hundred twenty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8741 17482 26223 34964 52446 62467 78669 96151 104892 124934 157338 187401 192302 249868 288453 314676 374802 384604 562203 576906 687137 749604 865359 1124406 1153812 1374274 1730718 2061411 2248812 2748548 3461436 4122822 6184233 8245644 12368466 24736932 546024047 1092048094 1638072141 2184096188 3276144282 4914216423 6006264517 6552288564 9828432846 12012529034 18018793551 19656865692 24025058068 36037587102 54056380653 72075174204 108112761306 216225522612