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199238004 = 2232729137199
BaseRepresentation
bin10111110000000…
…10000101110100
3111212220100011100
423320002011310
5402001104004
631434210100
74636331550
oct1370020564
9455810140
10199238004
11a2512509
1256883930
133237b514
141c664860
1512758739
hexbe02174

199238004 has 144 divisors (see below), whose sum is σ = 602784000. Its totient is φ = 54286848.

The previous prime is 199238003. The next prime is 199238059. The reversal of 199238004 is 400832991.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199238004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199238003) 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, 1001097 + ... + 1001295.

It is an arithmetic number, because the mean of its divisors is an integer number (4186000).

Almost surely, 2199238004 is an apocalyptic number.

199238004 is a gapful number since it is divisible by the number (14) 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 199238004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301392000).

199238004 is an abundant number, since it is smaller than the sum of its proper divisors (403545996).

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

199238004 is a wasteful number, since it uses less digits than its factorization.

199238004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 199238004 is about 14115.1692869763. The cubic root of 199238004 is about 584.0599058145.

The spelling of 199238004 in words is "one hundred ninety-nine million, two hundred thirty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 137 174 199 203 252 261 274 348 398 406 411 522 548 597 609 796 812 822 959 1044 1194 1218 1233 1393 1644 1791 1827 1918 2388 2436 2466 2786 2877 3582 3654 3836 3973 4179 4932 5572 5754 5771 7164 7308 7946 8358 8631 11508 11542 11919 12537 15892 16716 17262 17313 23084 23838 25074 27263 27811 34524 34626 35757 40397 47676 50148 51939 54526 55622 69252 71514 80794 81789 83433 103878 109052 111244 121191 143028 161588 163578 166866 190841 207756 242382 245367 250299 327156 333732 363573 381682 484764 490734 500598 572523 727146 763364 790627 981468 1001196 1145046 1454292 1581254 1717569 2290092 2371881 3162508 3435138 4743762 5534389 6870276 7115643 9487524 11068778 14231286 16603167 22137556 28462572 33206334 49809501 66412668 99619002 199238004