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195430144 = 287138389
BaseRepresentation
bin10111010011000…
…00011100000000
3111121201212202111
423221200130000
5400012231034
631220425104
74562062120
oct1351403400
9447655674
10195430144
11a0351618
1255548194
1331647250
141bd52c80
1512255364
hexba60700

195430144 has 72 divisors (see below), whose sum is σ = 480176480. Its totient is φ = 77303808.

The previous prime is 195430129. The next prime is 195430163. The reversal of 195430144 is 441034591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19102 + ... + 27490.

Almost surely, 2195430144 is an apocalyptic number.

195430144 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 195430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240088240).

195430144 is an abundant number, since it is smaller than the sum of its proper divisors (284746336).

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

195430144 is an equidigital number, since it uses as much as digits as its factorization.

195430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 195430144 is about 13979.6331854595. The cubic root of 195430144 is about 580.3150725700.

The spelling of 195430144 in words is "one hundred ninety-five million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 8389 11648 16778 23296 33556 58723 67112 109057 117446 134224 218114 234892 268448 436228 469784 536896 763399 872456 939568 1073792 1526798 1744912 1879136 2147584 3053596 3489824 3758272 6107192 6979648 7516544 12214384 13959296 15033088 24428768 27918592 48857536 97715072 195430144