Search a number
-
+
2252105415 = 32573532753
BaseRepresentation
bin1000011000111100…
…0110011011000111
312210221201210211200
42012033012123013
514103014333130
61011250233543
7106544403000
oct20617063307
95727653750
102252105415
11a5628914a
1252a2858b3
1329b776171
141751621a7
15d2ab0760
hex863c66c7

2252105415 has 96 divisors (see below), whose sum is σ = 4639939200. Its totient is φ = 1009741824.

The previous prime is 2252105411. The next prime is 2252105419. The reversal of 2252105415 is 5145012522.

2252105415 is a `hidden beast` number, since 225 + 21 + 0 + 5 + 415 = 666.

2252105415 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2252105411) and next prime (2252105419).

It is not a de Polignac number, because 2252105415 - 22 = 2252105411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252105411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816679 + ... + 819431.

It is an arithmetic number, because the mean of its divisors is an integer number (48332700).

Almost surely, 22252105415 is an apocalyptic number.

2252105415 is an abundant number, since it is smaller than the sum of its proper divisors (2387833785).

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

2252105415 is a wasteful number, since it uses less digits than its factorization.

2252105415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2252105415 is about 47456.3527359615. The cubic root of 2252105415 is about 1310.7792917768.

Adding to 2252105415 its reverse (5145012522), we get a palindrome (7397117937).

The spelling of 2252105415 in words is "two billion, two hundred fifty-two million, one hundred five thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 53 63 105 147 159 245 265 315 343 371 441 477 735 795 1029 1113 1715 1855 2205 2385 2597 2753 3087 3339 5145 5565 7791 8259 12985 13765 15435 16695 18179 19271 23373 24777 38955 41295 54537 57813 90895 96355 116865 123885 134897 145909 163611 173439 272685 289065 404691 437727 674485 729545 818055 867195 944279 1021363 1214073 1313181 2023455 2188635 2832837 3064089 4721395 5106815 6070365 6565905 7149541 8498511 9192267 14164185 15320445 21448623 35747705 42492555 45961335 50046787 64345869 107243115 150140361 250233935 321729345 450421083 750701805 2252105415