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199726434 = 23223613787
BaseRepresentation
bin10111110011110…
…01010101100010
3111220211011011100
423321321111202
5402112221214
631452455230
74643434545
oct1371712542
9456734140
10199726434
11a2816476
1256a7a516
13324bc92b
141c75085c
1512803309
hexbe79562

199726434 has 48 divisors (see below), whose sum is σ = 452866752. Its totient is φ = 63496224.

The previous prime is 199726433. The next prime is 199726493. The reversal of 199726434 is 434627991.

It is a happy number.

199726434 is a `hidden beast` number, since 199 + 7 + 26 + 434 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199726434.

It is not an unprimeable number, because it can be changed into a prime (199726433) 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, 253389 + ... + 254175.

It is an arithmetic number, because the mean of its divisors is an integer number (9434724).

Almost surely, 2199726434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199726434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226433376).

199726434 is an abundant number, since it is smaller than the sum of its proper divisors (253140318).

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

199726434 is a wasteful number, since it uses less digits than its factorization.

199726434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1428 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 199726434 is about 14132.4602953626. The cubic root of 199726434 is about 584.5367886998.

The spelling of 199726434 in words is "one hundred ninety-nine million, seven hundred twenty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 613 787 1226 1574 1839 2361 3678 4722 5517 7083 11034 14099 14166 18101 28198 36202 42297 54303 84594 108606 126891 162909 253782 325818 482431 964862 1447293 2894586 4341879 8683758 11095913 22191826 33287739 66575478 99863217 199726434