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12224398095 = 355713110563
BaseRepresentation
bin10110110001010000…
…11000001100001111
31011112221100202200000
423120220120030033
5200013421214340
65341003135343
7611634445410
oct133050301417
934487322600
1012224398095
115203399248
122451b14553
1311ca7b2070
1483d751807
154b82e8d30
hex2d8a1830f

12224398095 has 96 divisors (see below), whose sum is σ = 27044838912. Its totient is φ = 5158380672.

The previous prime is 12224398093. The next prime is 12224398139. The reversal of 12224398095 is 59089342221.

12224398095 is a `hidden beast` number, since 122 + 2 + 439 + 8 + 0 + 95 = 666.

It is a Cunningham number, because it is equal to 1105642-1.

It is not a de Polignac number, because 12224398095 - 21 = 12224398093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12224398095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224398093) 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, 55284 + ... + 165846.

It is an arithmetic number, because the mean of its divisors is an integer number (281717072).

Almost surely, 212224398095 is an apocalyptic number.

12224398095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12224398095 is an abundant number, since it is smaller than the sum of its proper divisors (14820440817).

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

12224398095 is a wasteful number, since it uses less digits than its factorization.

12224398095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110603 (or 110591 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12224398095 in words is "twelve billion, two hundred twenty-four million, three hundred ninety-eight thousand, ninety-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 273 315 351 405 455 567 585 819 945 1053 1215 1365 1701 1755 2457 2835 3159 4095 5265 7371 8505 12285 15795 22113 36855 110563 110565 331689 552815 773941 995067 1437319 1658445 2321823 2985201 3869705 4311957 4975335 6965469 7186595 8955603 10061233 11609115 12935871 14926005 20896407 21559785 26866809 30183699 34827345 38807613 44778015 50306165 62689221 64679355 90551097 104482035 116422839 134334045 150918495 188067663 194038065 271653291 313446105 349268517 452755485 582114195 814959873 940338315 1358266455 1746342585 2444879619 4074799365 12224398095