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213220313232192 = 2632752882022131
BaseRepresentation
bin110000011110110000111001…
…000001110111001101000000
31000221221122220020100101101100
4300132300321001313031000
5210421400200141412232
62033252020515134400
762624442062550420
oct6036607101671500
91027848806311340
10213220313232192
1161a362551a5242
121bab76375a4400
1391c87877c2986
143a91cbd86c480
15199b53a18ac7c
hexc1ec39077340

213220313232192 has 84 divisors (see below), whose sum is σ = 698465748319456. Its totient is φ = 60920089493760.

The previous prime is 213220313232127. The next prime is 213220313232193. The reversal of 213220313232192 is 291232313022312.

213220313232192 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 20 + 313 + 232 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×2132203132321922 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213220313232193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26441007034 + ... + 26441015097.

Almost surely, 2213220313232192 is an apocalyptic number.

It is an amenable number.

213220313232192 is an abundant number, since it is smaller than the sum of its proper divisors (485245435087264).

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

213220313232192 is a wasteful number, since it uses less digits than its factorization.

213220313232192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52882022156 (or 52882022143 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 213220313232192 in words is "two hundred thirteen trillion, two hundred twenty billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 52882022131 105764044262 158646066393 211528088524 317292132786 370174154917 423056177048 475938199179 634584265572 740348309834 846112354096 951876398358 1110522464751 1269168531144 1480696619668 1692224708192 1903752796716 2221044929502 2538337062288 2961393239336 3331567394253 3384449416384 3807505593432 4442089859004 5076674124576 5922786478672 6663134788506 7615011186864 8884179718008 10153348249152 11845572957344 13326269577012 15230022373728 17768359436016 23691145914688 26652539154024 30460044747456 35536718872032 53305078308048 71073437744064 106610156616096 213220313232192