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199216890 = 232514291549
BaseRepresentation
bin10111101111111…
…00111011111010
3111212212021012100
423313330323322
5401444420030
631433524230
74636213155
oct1367747372
9455767170
10199216890
11a24a8664
1256873676
1332371a22
141c65ac9c
1512752360
hexbdfcefa

199216890 has 48 divisors (see below), whose sum is σ = 518661000. Its totient is φ = 53053056.

The previous prime is 199216889. The next prime is 199216903. The reversal of 199216890 is 98612991.

It can be written as a sum of positive squares in 4 ways, for example, as 95238081 + 103978809 = 9759^2 + 10197^2 .

It is a super-2 number, since 2×1992168902 = 79374738522544200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127836 + ... + 129384.

Almost surely, 2199216890 is an apocalyptic number.

199216890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199216890 is an abundant number, since it is smaller than the sum of its proper divisors (319444110).

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

199216890 is a wasteful number, since it uses less digits than its factorization.

199216890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 199216890 is about 14114.4213483940. The cubic root of 199216890 is about 584.0392734113.

The spelling of 199216890 in words is "one hundred ninety-nine million, two hundred sixteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1429 1549 2858 3098 4287 4647 7145 7745 8574 9294 12861 13941 14290 15490 21435 23235 25722 27882 42870 46470 64305 69705 128610 139410 2213521 4427042 6640563 11067605 13281126 19921689 22135210 33202815 39843378 66405630 99608445 199216890