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23224023595161 = 34532101032
BaseRepresentation
bin1010100011111010000111…
…01011010011100010011001
310001020012021010122112210000
411101331003223103202121
511021000300020021121
6121220545200443213
74614610645305024
oct521750353234231
9101205233575700
1023224023595161
117444286963594
122730b7a619509
13cc60292a0a6c
145a4097a541bb
152a419bb51526
hex151f43ad3899

23224023595161 has 45 divisors (see below), whose sum is σ = 35363106839599. Its totient is φ = 15189052744944.

The previous prime is 23224023595139. The next prime is 23224023595189. The reversal of 23224023595161 is 16159532042232.

It is a happy number.

The square root of 23224023595161 is 4819131.

It is a perfect power (a square), and thus also a powerful number.

23224023595161 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 40 + 2 + 3 + 595 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16742131641225 + 6481891953936 = 4091715^2 + 2545956^2 .

It is not a de Polignac number, because 23224023595161 - 215 = 23224023562393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23224023595261) 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 44 ways as a sum of consecutive naturals, for example, 2298720436 + ... + 2298730538.

Almost surely, 223224023595161 is an apocalyptic number.

23224023595161 is the 4819131-st square number.

23224023595161 is the 2409566-th centered octagonal number.

It is an amenable number.

23224023595161 is a deficient number, since it is larger than the sum of its proper divisors (12139083244438).

23224023595161 is an frugal number, since it uses more digits than its factorization.

23224023595161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20324 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 23224023595161 in words is "twenty-three trillion, two hundred twenty-four billion, twenty-three million, five hundred ninety-five thousand, one hundred sixty-one".

Divisors: 1 3 9 27 53 81 159 477 1431 2809 4293 8427 10103 25281 30309 75843 90927 227529 272781 535459 818343 1606377 4819131 14457393 28379327 43372179 85137981 102070609 255413943 306211827 766241829 918635481 2298725487 2755906443 5409742277 8267719329 16229226831 48687680493 146063041479 286716340681 438189124437 860149022043 2580447066129 7741341198387 23224023595161