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199426320 = 24335175431
BaseRepresentation
bin10111110001100…
…00000100010000
3111220020220111000
423320300010100
5402023120240
631442222000
74641044562
oct1370600420
9456226430
10199426320
11a2630a45
1256954900
1332416152
141c6b3332
1512794430
hexbe30110

199426320 has 160 divisors (see below), whose sum is σ = 727453440. Its totient is φ = 50042880.

The previous prime is 199426319. The next prime is 199426361. The reversal of 199426320 is 23624991.

199426320 is a `hidden beast` number, since 19 + 9 + 4 + 2 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34005 + ... + 39435.

It is an arithmetic number, because the mean of its divisors is an integer number (4546584).

Almost surely, 2199426320 is an apocalyptic number.

199426320 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 199426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363726720).

199426320 is an abundant number, since it is smaller than the sum of its proper divisors (528027120).

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

199426320 is a wasteful number, since it uses less digits than its factorization.

199426320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 199426320 is about 14121.8384072330. The cubic root of 199426320 is about 584.2438620015.

It can be divided in two parts, 19942 and 6320, that added together give a palindrome (26262).

The spelling of 199426320 in words is "one hundred ninety-nine million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 5431 6120 7344 9180 10862 12240 16293 18360 21724 27155 32586 36720 43448 48879 54310 65172 81465 86896 92327 97758 108620 130344 146637 162930 184654 195516 217240 244395 260688 276981 293274 325860 369308 391032 434480 461635 488790 553962 586548 651720 733185 738616 782064 830943 923270 977580 1107924 1173096 1303440 1384905 1466370 1477232 1661886 1846540 1955160 2215848 2346192 2492829 2769810 2932740 3323772 3693080 3910320 4154715 4431696 4985658 5539620 5865480 6647544 7386160 8309430 9971316 11079240 11730960 12464145 13295088 16618860 19942632 22158480 24928290 33237720 39885264 49856580 66475440 99713160 199426320