Search a number
-
+
316200192 = 2837115347
BaseRepresentation
bin10010110110001…
…101010100000000
3211000222122010020
4102312031110000
51121421401232
651213133440
710556441310
oct2266152400
9730878106
10316200192
11152539980
1289a8a280
1350680809
142ddcd440
151cb5de2c
hex12d8d500

316200192 has 144 divisors (see below), whose sum is σ = 1049405952. Its totient is φ = 82114560.

The previous prime is 316200167. The next prime is 316200193. The reversal of 316200192 is 291002613.

It is a super-2 number, since 2×3162001922 = 199965122841673728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316200193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56463 + ... + 61809.

Almost surely, 2316200192 is an apocalyptic number.

316200192 is a gapful number since it is divisible by the number (32) 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 316200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524702976).

316200192 is an abundant number, since it is smaller than the sum of its proper divisors (733205760).

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

316200192 is a wasteful number, since it uses less digits than its factorization.

316200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 316200192 is about 17782.0187830291. The cubic root of 316200192 is about 681.2722663429.

The spelling of 316200192 in words is "three hundred sixteen million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5347 5376 7392 8448 9856 10694 14784 16041 19712 21388 29568 32082 37429 42776 58817 59136 64164 74858 85552 112287 117634 128328 149716 171104 176451 224574 235268 256656 299432 342208 352902 411719 449148 470536 513312 598864 684416 705804 823438 898296 941072 1026624 1197728 1235157 1368832 1411608 1646876 1796592 1882144 2053248 2395456 2470314 2823216 3293752 3593184 3764288 4106496 4790912 4940628 5646432 6587504 7186368 7528576 9581824 9881256 11292864 13175008 14372736 15057152 19762512 22585728 26350016 28745472 39525024 45171456 52700032 79050048 105400064 158100096 316200192