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2263200525243 = 327563216129527
BaseRepresentation
bin100000111011110001010…
…000110110101110111011
322000100201100001212110200
4200323301100312232323
5244040013313301433
64451411105413243
7322340135025120
oct40736120665673
98010640055420
102263200525243
117a28aa771029
1230675933a223
1313555a404338
147b77a508747
153dd0eb58613
hex20ef1436bbb

2263200525243 has 48 divisors (see below), whose sum is σ = 3744571823616. Its totient is φ = 1290319269120.

The previous prime is 2263200525211. The next prime is 2263200525281. The reversal of 2263200525243 is 3425250023622.

2263200525243 is a `hidden beast` number, since 2 + 2 + 63 + 20 + 0 + 52 + 524 + 3 = 666.

It is not a de Polignac number, because 2263200525243 - 25 = 2263200525211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2263200525198 and 2263200525207.

It is not an unprimeable number, because it can be changed into a prime (2263200525643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76633746 + ... + 76663272.

It is an arithmetic number, because the mean of its divisors is an integer number (78011912992).

Almost surely, 22263200525243 is an apocalyptic number.

2263200525243 is a deficient number, since it is larger than the sum of its proper divisors (1481371298373).

2263200525243 is a wasteful number, since it uses less digits than its factorization.

2263200525243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32264 (or 32261 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 2263200525243 its reverse (3425250023622), we get a palindrome (5688450548865).

The spelling of 2263200525243 in words is "two trillion, two hundred sixty-three billion, two hundred million, five hundred twenty-five thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 63 563 1689 2161 3941 5067 6483 11823 15127 19449 29527 35469 45381 88581 136143 206689 265743 620067 1216643 1860201 3649929 8516501 10949787 16623701 25549503 49871103 63807847 76648509 116365907 149613309 191423541 349097721 446654929 574270623 1047293163 1339964787 4019894361 35923817861 107771453583 251466725027 323314360749 754400175081 2263200525243