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199221132 = 2231141131281
BaseRepresentation
bin10111101111111…
…01111110001100
3111212212111000110
423313331332030
5402000034012
631434000020
74636231425
oct1367757614
9455774013
10199221132
11a2500870
1256876010
1332373936
141c65c64c
151275373c
hexbdfdf8c

199221132 has 96 divisors (see below), whose sum is σ = 525305088. Its totient is φ = 58240000.

The previous prime is 199221119. The next prime is 199221133. The reversal of 199221132 is 231122991.

It is a super-2 number, since 2×1992211322 = 79378118870722848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 199221132.

It is not an unprimeable number, because it can be changed into a prime (199221133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708832 + ... + 709112.

It is an arithmetic number, because the mean of its divisors is an integer number (5471928).

Almost surely, 2199221132 is an apocalyptic number.

199221132 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 199221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262652544).

199221132 is an abundant number, since it is smaller than the sum of its proper divisors (326083956).

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

199221132 is a wasteful number, since it uses less digits than its factorization.

199221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 199221132 is about 14114.5716194293. The cubic root of 199221132 is about 584.0434187710.

The spelling of 199221132 in words is "one hundred ninety-nine million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 131 132 164 246 262 281 393 451 492 524 562 786 843 902 1124 1353 1441 1572 1686 1804 2706 2882 3091 3372 4323 5371 5412 5764 6182 8646 9273 10742 11521 12364 16113 17292 18546 21484 23042 32226 34563 36811 37092 46084 59081 64452 69126 73622 110433 118162 126731 138252 147244 177243 220866 236324 253462 354486 380193 404921 441732 506924 708972 760386 809842 1214763 1509251 1520772 1619684 2429526 3018502 4527753 4859052 6037004 9055506 16601761 18111012 33203522 49805283 66407044 99610566 199221132