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199425402 = 234111729227
BaseRepresentation
bin10111110001011…
…11110101111010
3111220020212020000
423320233311322
5402023103102
631442213430
74641042111
oct1370576572
9456225200
10199425402
11a2630290
1256954276
13324158c7
141c6b2c78
151279401c
hexbe2fd7a

199425402 has 160 divisors (see below), whose sum is σ = 536310720. Its totient is φ = 54673920.

The previous prime is 199425383. The next prime is 199425403. The reversal of 199425402 is 204524991.

199425402 is a `hidden beast` number, since 199 + 425 + 40 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199425403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 878413 + ... + 878639.

It is an arithmetic number, because the mean of its divisors is an integer number (3351942).

Almost surely, 2199425402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199425402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268155360).

199425402 is an abundant number, since it is smaller than the sum of its proper divisors (336885318).

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

199425402 is a wasteful number, since it uses less digits than its factorization.

199425402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 199425402 is about 14121.8059043452. The cubic root of 199425402 is about 584.2429655356.

The spelling of 199425402 in words is "one hundred ninety-nine million, four hundred twenty-five thousand, four hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 29 33 34 51 54 58 66 81 87 99 102 153 162 174 187 198 227 261 297 306 319 374 454 459 493 522 561 594 638 681 783 891 918 957 986 1122 1362 1377 1479 1566 1683 1782 1914 2043 2349 2497 2754 2871 2958 3366 3859 4086 4437 4698 4994 5049 5423 5742 6129 6583 7491 7718 8613 8874 10098 10846 11577 12258 13166 13311 14982 15147 16269 17226 18387 19749 22473 23154 25839 26622 30294 32538 34731 36774 39498 39933 42449 44946 48807 51678 59247 67419 69462 72413 79866 84898 97614 104193 111911 118494 127347 134838 144826 146421 177741 202257 208386 217239 223822 254694 292842 312579 335733 355482 382041 404514 434478 439263 533223 625158 651717 671466 764082 878526 1007199 1066446 1146123 1231021 1303434 1955151 2014398 2292246 2462042 3021597 3438369 3693063 3910302 5865453 6043194 6876738 7386126 9064791 11079189 11730906 18129582 22158378 33237567 66475134 99712701 199425402