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2252103345 = 36519311049
BaseRepresentation
bin1000011000111100…
…0101111010110001
312210221201201000000
42012033011322301
514103014301340
61011250220213
7106544363652
oct20617057261
95727651000
102252103345
11a56287638
1252a284669
1329b77523b
14175161529
15d2aaed30
hex863c5eb1

2252103345 has 112 divisors (see below), whose sum is σ = 4406976000. Its totient is φ = 1100148480.

The previous prime is 2252103341. The next prime is 2252103379. The reversal of 2252103345 is 5433012522.

It is a happy number.

2252103345 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 not a de Polignac number, because 2252103345 - 22 = 2252103341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252103341) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2146381 + ... + 2147429.

It is an arithmetic number, because the mean of its divisors is an integer number (39348000).

Almost surely, 22252103345 is an apocalyptic number.

It is an amenable number.

2252103345 is a deficient number, since it is larger than the sum of its proper divisors (2154872655).

2252103345 is a wasteful number, since it uses less digits than its factorization.

2252103345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2252103345 is about 47456.3309264423. The cubic root of 2252103345 is about 1310.7788901802.

Adding to 2252103345 its reverse (5433012522), we get a palindrome (7685115867).

The spelling of 2252103345 in words is "two billion, two hundred fifty-two million, one hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 81 93 95 135 155 171 243 279 285 405 465 513 589 729 837 855 1049 1215 1395 1539 1767 2511 2565 2945 3147 3645 4185 4617 5245 5301 7533 7695 8835 9441 12555 13851 15735 15903 19931 22599 23085 26505 28323 32519 37665 47205 47709 59793 69255 79515 84969 97557 99655 112995 141615 143127 162595 179379 238545 254907 292671 298965 424845 429381 487785 538137 617861 715635 764721 878013 896895 1274535 1463355 1614411 1853583 2146905 2634039 2690685 3089305 3823605 4390065 4843233 5560749 7902117 8072055 9267915 13170195 14529699 16682247 23706351 24216165 27803745 39510585 50046741 72648495 83411235 118531755 150140223 250233705 450420669 750701115 2252103345