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199030272 = 2937107173
BaseRepresentation
bin10111101110011…
…11011000000000
3111212111210012120
423313033120000
5401422432042
631425524240
74634505120
oct1367173000
9455453176
10199030272
11a2390431
12567a3680
1332307abc
141c60cc80
1512716dec
hexbdcf600

199030272 has 160 divisors (see below), whose sum is σ = 615174912. Its totient is φ = 56008704.

The previous prime is 199030241. The next prime is 199030283. The reversal of 199030272 is 272030991.

199030272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1990302722 = 79226098344787968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150378 + ... + 1150550.

Almost surely, 2199030272 is an apocalyptic number.

199030272 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 199030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307587456).

199030272 is an abundant number, since it is smaller than the sum of its proper divisors (416144640).

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

199030272 is a wasteful number, since it uses less digits than its factorization.

199030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 199030272 is about 14107.8089014560. The cubic root of 199030272 is about 583.8568486313.

The spelling of 199030272 in words is "one hundred ninety-nine million, thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 173 192 214 224 256 321 336 346 384 428 448 512 519 642 672 692 749 768 856 896 1038 1211 1284 1344 1384 1498 1536 1712 1792 2076 2247 2422 2568 2688 2768 2996 3424 3584 3633 4152 4494 4844 5136 5376 5536 5992 6848 7266 8304 8988 9688 10272 10752 11072 11984 13696 14532 16608 17976 18511 19376 20544 22144 23968 27392 29064 33216 35952 37022 38752 41088 44288 47936 54784 55533 58128 66432 71904 74044 77504 82176 88576 95872 111066 116256 129577 132864 143808 148088 155008 164352 191744 222132 232512 259154 265728 287616 296176 310016 383488 388731 444264 465024 518308 575232 592352 620032 777462 888528 930048 1036616 1150464 1184704 1554924 1777056 1860096 2073232 2369408 3109848 3554112 4146464 4738816 6219696 7108224 8292928 9477632 12439392 14216448 16585856 24878784 28432896 33171712 49757568 66343424 99515136 199030272