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199172916 = 223223415867
BaseRepresentation
bin10111101111100…
…10001100110100
3111212210000212200
423313302030310
5401442013131
631432544500
74635641025
oct1367621464
9455700780
10199172916
11a2478618
1256852130
13323579c7
141c648c4c
15127442e6
hexbdf2334

199172916 has 72 divisors (see below), whose sum is σ = 538259904. Its totient is φ = 61944960.

The previous prime is 199172879. The next prime is 199172917. The reversal of 199172916 is 619271991.

199172916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199172917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31015 + ... + 36881.

It is an arithmetic number, because the mean of its divisors is an integer number (7475832).

Almost surely, 2199172916 is an apocalyptic number.

199172916 is the 7544-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199172916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269129952).

199172916 is an abundant number, since it is smaller than the sum of its proper divisors (339086988).

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

199172916 is a wasteful number, since it uses less digits than its factorization.

199172916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5936 counting only the distinct ones).

The product of its digits is 61236, while the sum is 45.

The square root of 199172916 is about 14112.8634939902. The cubic root of 199172916 is about 583.9962977497.

The spelling of 199172916 in words is "one hundred ninety-nine million, one hundred seventy-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2829 3772 5658 5867 8487 11316 11734 16974 17601 23468 33948 35202 52803 70404 105606 134941 211212 240547 269882 404823 481094 539764 721641 809646 962188 1214469 1443282 1619292 2164923 2428938 2886564 4329846 4857876 5532581 8659692 11065162 16597743 22130324 33195486 49793229 66390972 99586458 199172916