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193112190 = 23254771643
BaseRepresentation
bin10111000001010…
…10100001111110
3111110101010010100
423200222201332
5343414042230
631055021530
74533266205
oct1340524176
9443333110
10193112190
119a009057
125480a8a6
133101518b
141b90c23c
1511e48660
hexb82a87e

193112190 has 96 divisors (see below), whose sum is σ = 520805376. Its totient is φ = 49613760.

The previous prime is 193112177. The next prime is 193112201. The reversal of 193112190 is 91211391.

193112190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1931121902 = 74584635853192200, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300009 + ... + 300651.

It is an arithmetic number, because the mean of its divisors is an integer number (5425056).

Almost surely, 2193112190 is an apocalyptic number.

193112190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193112190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260402688).

193112190 is an abundant number, since it is smaller than the sum of its proper divisors (327693186).

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

193112190 is a wasteful number, since it uses less digits than its factorization.

193112190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 193112190 is about 13896.4812092846. The cubic root of 193112190 is about 578.0116116168.

The spelling of 193112190 in words is "one hundred ninety-three million, one hundred twelve thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 71 90 94 141 142 213 235 282 355 423 426 470 639 643 705 710 846 1065 1278 1286 1410 1929 2115 2130 3195 3215 3337 3858 4230 5787 6390 6430 6674 9645 10011 11574 16685 19290 20022 28935 30033 30221 33370 45653 50055 57870 60066 60442 90663 91306 100110 136959 150165 151105 181326 228265 271989 273918 300330 302210 410877 453315 456530 543978 684795 821754 906630 1359945 1369590 2054385 2145691 2719890 4108770 4291382 6437073 10728455 12874146 19311219 21456910 32185365 38622438 64370730 96556095 193112190