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1220524105440 = 253513918293227
BaseRepresentation
bin10001110000101100111…
…001111101111011100000
311022200101102102200201210
4101300230321331323200
5124444113132333230
62332411231230120
7154115503502103
oct21605471757340
94280342380653
101220524105440
11430692047302
12178667078340
138b1307376b3
144310627c73a
1521b36981eb0
hex11c2ce7dee0

1220524105440 has 96 divisors (see below), whose sum is σ = 3872310503040. Its totient is φ = 323131544064.

The previous prime is 1220524105397. The next prime is 1220524105547. The reversal of 1220524105440 is 445014250221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12205241054402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1220524105398 and 1220524105407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9079894 + ... + 9213333.

It is an arithmetic number, because the mean of its divisors is an integer number (40336567740).

Almost surely, 21220524105440 is an apocalyptic number.

1220524105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220524105440 is an abundant number, since it is smaller than the sum of its proper divisors (2651786397600).

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

1220524105440 is a wasteful number, since it uses less digits than its factorization.

1220524105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18293384 (or 18293376 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1220524105440 its reverse (445014250221), we get a palindrome (1665538355661).

The spelling of 1220524105440 in words is "one trillion, two hundred twenty billion, five hundred twenty-four million, one hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 22240 33360 66720 18293227 36586454 54879681 73172908 91466135 109759362 146345816 182932270 219518724 274398405 292691632 365864540 439037448 548796810 585383264 731729080 878074896 1097593620 1463458160 1756149792 2195187240 2542758553 2926916320 4390374480 5085517106 7628275659 8780748960 10171034212 12713792765 15256551318 20342068424 25427585530 30513102636 38141378295 40684136848 50855171060 61026205272 76282756590 81368273696 101710342120 122052410544 152565513180 203420684240 244104821088 305131026360 406841368480 610262052720 1220524105440