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193415112 = 23321121492
BaseRepresentation
bin10111000011101…
…00011111001000
3111110221111122200
423201310133020
5344003240422
631105320200
74536000312
oct1341643710
9443844580
10193415112
119a1a5700
1254936060
13310c0017
141b98a7b2
1511ea82ac
hexb8747c8

193415112 has 108 divisors (see below), whose sum is σ = 579673185. Its totient is φ = 58217280.

The previous prime is 193415111. The next prime is 193415113. The reversal of 193415112 is 211514391.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

193415112 is digitally balanced in base 2, because in such base 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 (193415111) and next prime (193415113).

It can be written as a sum of positive squares in 2 ways, for example, as 158911236 + 34503876 = 12606^2 + 5874^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9834.

It is not an unprimeable number, because it can be changed into a prime (193415111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1298014 + ... + 1298162.

Almost surely, 2193415112 is an apocalyptic number.

193415112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193415112

193415112 is an abundant number, since it is smaller than the sum of its proper divisors (386258073).

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

193415112 is a wasteful number, since it uses less digits than its factorization.

193415112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 165 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 193415112 is about 13907.3761723770. The cubic root of 193415112 is about 578.3136829348.

The spelling of 193415112 in words is "one hundred ninety-three million, four hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 149 198 242 264 298 363 396 447 484 596 726 792 894 968 1089 1192 1341 1452 1639 1788 2178 2682 2904 3278 3576 4356 4917 5364 6556 8712 9834 10728 13112 14751 18029 19668 22201 29502 36058 39336 44402 54087 59004 66603 72116 88804 108174 118008 133206 144232 162261 177608 199809 216348 244211 266412 324522 399618 432696 488422 532824 649044 732633 799236 976844 1298088 1465266 1598472 1953688 2197899 2686321 2930532 4395798 5372642 5861064 8058963 8791596 10745284 16117926 17583192 21490568 24176889 32235852 48353778 64471704 96707556 193415112