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194088312 = 23341173373
BaseRepresentation
bin10111001000110…
…00110101111000
3111112012201010000
423210120311320
5344141311222
631131553000
74544503065
oct1344306570
9445181100
10194088312
119a615470
1254bbb760
1331297572
141bac3c6c
151208c9ac
hexb918d78

194088312 has 160 divisors (see below), whose sum is σ = 602783280. Its totient is φ = 57853440.

The previous prime is 194088299. The next prime is 194088313. The reversal of 194088312 is 213880491.

194088312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194088313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 520158 + ... + 520530.

Almost surely, 2194088312 is an apocalyptic number.

194088312 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 194088312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301391640).

194088312 is an abundant number, since it is smaller than the sum of its proper divisors (408694968).

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

194088312 is a wasteful number, since it uses less digits than its factorization.

194088312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 194088312 is about 13931.5581325277. The cubic root of 194088312 is about 578.9838648890.

The spelling of 194088312 in words is "one hundred ninety-four million, eighty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 73 81 88 99 108 132 146 162 198 216 219 264 292 297 324 373 396 438 584 594 648 657 746 792 803 876 891 1119 1188 1314 1492 1606 1752 1782 1971 2238 2376 2409 2628 2984 3212 3357 3564 3942 4103 4476 4818 5256 5913 6424 6714 7128 7227 7884 8206 8952 9636 10071 11826 12309 13428 14454 15768 16412 19272 20142 21681 23652 24618 26856 27229 28908 30213 32824 36927 40284 43362 47304 49236 54458 57816 60426 65043 73854 80568 81687 86724 98472 108916 110781 120852 130086 147708 163374 173448 217832 221562 241704 245061 260172 295416 299519 326748 332343 443124 490122 520344 599038 653496 664686 735183 886248 898557 980244 1198076 1329372 1470366 1797114 1960488 2205549 2396152 2658744 2695671 2940732 3594228 4411098 5391342 5881464 7188456 8087013 8822196 10782684 16174026 17644392 21565368 24261039 32348052 48522078 64696104 97044156 194088312