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199370292 = 223116722543
BaseRepresentation
bin10111110001000…
…10011000110100
3111220011001121220
423320202120310
5402014322132
631441110340
74640422332
oct1370423064
9456131556
10199370292
11a25a2940
12569283b0
13323c67b4
141c69ab52
1512782a2c
hexbe22634

199370292 has 48 divisors (see below), whose sum is σ = 515085312. Its totient is φ = 59510880.

The previous prime is 199370257. The next prime is 199370293. The reversal of 199370292 is 292073991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199370293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2428 + ... + 20115.

It is an arithmetic number, because the mean of its divisors is an integer number (10730944).

Almost surely, 2199370292 is an apocalyptic number.

199370292 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 199370292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257542656).

199370292 is an abundant number, since it is smaller than the sum of its proper divisors (315715020).

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

199370292 is a wasteful number, since it uses less digits than its factorization.

199370292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22628 (or 22626 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 199370292 is about 14119.8545318286. The cubic root of 199370292 is about 584.1891432445.

The spelling of 199370292 in words is "one hundred ninety-nine million, three hundred seventy thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844 22543 45086 67629 90172 135258 247973 270516 495946 743919 991892 1487838 1510381 2975676 3020762 4531143 6041524 9062286 16614191 18124572 33228382 49842573 66456764 99685146 199370292