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21224620442322 = 232111915373366997
BaseRepresentation
bin1001101001101101111011…
…11101100100001011010010
32210011001110021212200012100
410310312331331210023102
510240221010313123242
6113050242300141230
74320266611025103
oct464667575441322
983131407780170
1021224620442322
116843346a07920
122469582537816
13bac61c5a01bb
145353c456a3aa
1526c17b26c54c
hex134dbdf642d2

21224620442322 has 96 divisors (see below), whose sum is σ = 52811247078720. Its totient is φ = 6092779512960.

The previous prime is 21224620442273. The next prime is 21224620442353. The reversal of 21224620442322 is 22324402642212.

21224620442322 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 6 + 204 + 423 + 22 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57649728 + ... + 58016724.

It is an arithmetic number, because the mean of its divisors is an integer number (550117157070).

Almost surely, 221224620442322 is an apocalyptic number.

21224620442322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21224620442322 is an abundant number, since it is smaller than the sum of its proper divisors (31586626636398).

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

21224620442322 is a wasteful number, since it uses less digits than its factorization.

21224620442322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382408 (or 382405 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 21224620442322 in words is "twenty-one trillion, two hundred twenty-four billion, six hundred twenty million, four hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 15373 30746 46119 92238 138357 169103 276714 292087 338206 366997 507309 584174 733994 876261 1014618 1100991 1521927 1752522 2201982 2628783 3043854 3212957 3302973 4036967 5257566 6425914 6605946 6972943 8073934 9638871 12110901 13945886 19277742 20918829 24221802 28916613 36332703 41837658 57833226 62756487 72665406 76702373 125512974 153404746 230107119 460214238 690321357 1380642714 5641844881 11283689762 16925534643 33851069286 50776603929 62060293691 101553207858 107195052739 124120587382 186180881073 214390105478 321585158217 372361762146 558542643219 643170316434 964755474651 1117085286438 1179145580129 1929510949302 2358291160258 3537436740387 7074873480774 10612310221161 21224620442322