Search a number
-
+
2265462332253 = 321515576734447
BaseRepresentation
bin100000111101111000000…
…100111101101101011101
322000120112222001120101200
4200331320010331231131
5244104131324113003
64452423344030113
7322450161045501
oct40757004755535
98016488046350
102265462332253
117a386047611a
1230708a902339
1313582ab96293
147b912a74301
153dde34d36a3
hex20f7813db5d

2265462332253 has 48 divisors (see below), whose sum is σ = 3305565858816. Its totient is φ = 1495051084800.

The previous prime is 2265462332209. The next prime is 2265462332321. The reversal of 2265462332253 is 3522332645622.

2265462332253 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 4 + 62 + 332 + 253 = 666.

It is not a de Polignac number, because 2265462332253 - 220 = 2265461283677 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2265462332199 and 2265462332208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265462332453) 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, 509433876 + ... + 509438322.

It is an arithmetic number, because the mean of its divisors is an integer number (68865955392).

Almost surely, 22265462332253 is an apocalyptic number.

It is an amenable number.

2265462332253 is a deficient number, since it is larger than the sum of its proper divisors (1040103526563).

2265462332253 is a wasteful number, since it uses less digits than its factorization.

2265462332253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5831 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

Adding to 2265462332253 its reverse (3522332645622), we get a palindrome (5787794977875).

The spelling of 2265462332253 in words is "two trillion, two hundred sixty-five billion, four hundred sixty-two million, three hundred thirty-two thousand, two hundred fifty-three".

Divisors: 1 3 9 151 453 557 673 1359 1671 2019 4447 5013 6057 13341 40023 84107 101623 252321 304869 374861 671497 756963 914607 1124583 2014491 2476979 2992831 3373749 6043473 7430937 8978493 22292811 26935479 56604011 169812033 374023829 451917481 509436099 1122071487 1355752443 1667006867 3366214461 4067257329 5001020601 15003061803 251718036917 755154110751 2265462332253