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199089828 = 223271943967
BaseRepresentation
bin10111101110111…
…01111010100100
3111212121210220100
423313131322210
5401431333303
631431104100
74635143550
oct1367357244
9455553810
10199089828
11a2421153
1256812030
1332328c42
141c626860
15127298a3
hexbdddea4

199089828 has 144 divisors (see below), whose sum is σ = 620139520. Its totient is φ = 52581312.

The previous prime is 199089823. The next prime is 199089883. The reversal of 199089828 is 828980991.

It is a happy number.

It is a super-2 number, since 2×1990898282 = 79273519226139168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199089823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205401 + ... + 206367.

Almost surely, 2199089828 is an apocalyptic number.

199089828 is a gapful number since it is divisible by the number (18) 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 199089828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310069760).

199089828 is an abundant number, since it is smaller than the sum of its proper divisors (421049692).

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

199089828 is a wasteful number, since it uses less digits than its factorization.

199089828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 199089828 is about 14109.9194894939. The cubic root of 199089828 is about 583.9150788198.

The spelling of 199089828 in words is "one hundred ninety-nine million, eighty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 43 57 63 76 84 86 114 126 129 133 171 172 228 252 258 266 301 342 387 399 516 532 602 684 774 798 817 903 967 1197 1204 1548 1596 1634 1806 1934 2394 2451 2709 2901 3268 3612 3868 4788 4902 5418 5719 5802 6769 7353 8703 9804 10836 11438 11604 13538 14706 17157 17406 18373 20307 22876 27076 29412 34314 34812 36746 40614 41581 51471 55119 60921 68628 73492 81228 83162 102942 110238 121842 124743 128611 165357 166324 205884 220476 243684 249486 257222 291067 330714 374229 385833 498972 514444 582134 661428 748458 771666 790039 873201 1157499 1164268 1496916 1543332 1580078 1746402 2314998 2370117 2619603 3160156 3492804 4629996 4740234 5239206 5530273 7110351 9480468 10478412 11060546 14220702 16590819 22121092 28441404 33181638 49772457 66363276 99544914 199089828