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199063152 = 243219312347
BaseRepresentation
bin10111101110101…
…11011001110000
3111212120110022100
423313113121300
5401430010102
631430340400
74635003021
oct1367273160
9455513270
10199063152
11a2403102
12567ba700
1332319a62
141c61ac48
1512721a1c
hexbdd7670

199063152 has 120 divisors (see below), whose sum is σ = 605596160. Its totient is φ = 60808320.

The previous prime is 199063147. The next prime is 199063153. The reversal of 199063152 is 251360991.

199063152 is a `hidden beast` number, since 19 + 9 + 0 + 631 + 5 + 2 = 666.

It is a super-2 number, since 2×1990631522 = 79252276968350208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199063153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83643 + ... + 85989.

Almost surely, 2199063152 is an apocalyptic number.

199063152 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 199063152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302798080).

199063152 is an abundant number, since it is smaller than the sum of its proper divisors (406533008).

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

199063152 is a wasteful number, since it uses less digits than its factorization.

199063152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 199063152 is about 14108.9741654027. The cubic root of 199063152 is about 583.8889981061. Note that the first 3 decimals are identical.

The spelling of 199063152 in words is "one hundred ninety-nine million, sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2347 2356 2736 3534 4464 4694 4712 5301 7041 7068 9388 9424 10602 14082 14136 18776 21123 21204 28164 28272 37552 42246 42408 44593 56328 72757 84492 84816 89186 112656 133779 145514 168984 178372 218271 267558 291028 337968 356744 401337 436542 535116 582056 654813 713488 802674 873084 1070232 1164112 1309626 1382383 1605348 1746168 2140464 2619252 2764766 3210696 3492336 4147149 5238504 5529532 6421392 8294298 10477008 11059064 12441447 16588596 22118128 24882894 33177192 49765788 66354384 99531576 199063152