Search a number
-
+
191630220 = 223531269383
BaseRepresentation
bin10110110110000…
…00101110001100
3111100120211020120
423123000232030
5343024131340
631003144540
74514554455
oct1333005614
9440524216
10191630220
1199196691
1254215150
1330916782
141b64412c
1511c544d0
hexb6c0b8c

191630220 has 96 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 49140480.

The previous prime is 191630209. The next prime is 191630293. The reversal of 191630220 is 22036191.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500149 + ... + 500531.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2191630220 is an apocalyptic number.

191630220 is a gapful number since it is divisible by the number (10) 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 191630220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

191630220 is an abundant number, since it is smaller than the sum of its proper divisors (365753460).

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

191630220 is a wasteful number, since it uses less digits than its factorization.

191630220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 191630220 is about 13843.0567433642. The cubic root of 191630220 is about 576.5292324354.

The spelling of 191630220 in words is "one hundred ninety-one million, six hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 269 310 372 383 465 538 620 766 807 930 1076 1149 1345 1532 1614 1860 1915 2298 2690 3228 3830 4035 4596 5380 5745 7660 8070 8339 11490 11873 16140 16678 22980 23746 25017 33356 35619 41695 47492 50034 59365 71238 83390 100068 103027 118730 125085 142476 166780 178095 206054 237460 250170 309081 356190 412108 500340 515135 618162 712380 1030270 1236324 1545405 2060540 3090810 3193837 6181620 6387674 9581511 12775348 15969185 19163022 31938370 38326044 47907555 63876740 95815110 191630220