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199150680 = 233553173181
BaseRepresentation
bin10111101111011…
…00110001011000
3111212201220101010
423313230301120
5401440310210
631432253520
74635516141
oct1367546130
9455656333
10199150680
11a2462943
12568412a0
133234a851
141c640ac8
151273c920
hexbdecc58

199150680 has 128 divisors (see below), whose sum is σ = 615625920. Its totient is φ = 51517440.

The previous prime is 199150667. The next prime is 199150681. The reversal of 199150680 is 86051991.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199150681) 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, 1100190 + ... + 1100370.

Almost surely, 2199150680 is an apocalyptic number.

199150680 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 199150680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307812960).

199150680 is an abundant number, since it is smaller than the sum of its proper divisors (416475240).

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

199150680 is a wasteful number, since it uses less digits than its factorization.

199150680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 199150680 is about 14112.0756800692. The cubic root of 199150680 is about 583.9745641640.

The spelling of 199150680 in words is "one hundred ninety-nine million, one hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 173 181 212 265 318 346 362 424 519 530 543 636 692 724 795 865 905 1038 1060 1086 1272 1384 1448 1590 1730 1810 2076 2120 2172 2595 2715 3180 3460 3620 4152 4344 5190 5430 6360 6920 7240 9169 9593 10380 10860 18338 19186 20760 21720 27507 28779 31313 36676 38372 45845 47965 55014 57558 62626 73352 76744 91690 93939 95930 110028 115116 125252 137535 143895 156565 183380 187878 191860 220056 230232 250504 275070 287790 313130 366760 375756 383720 469695 550140 575580 626260 751512 939390 1100280 1151160 1252520 1659589 1878780 3319178 3757560 4978767 6638356 8297945 9957534 13276712 16595890 19915068 24893835 33191780 39830136 49787670 66383560 99575340 199150680