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201042192 = 243131931547
BaseRepresentation
bin10111111101110…
…10100100010000
3112000022000001010
423332322210100
5402431322232
631541010520
74660554561
oct1376724420
9460260033
10201042192
11a3534a7a
12573b3a40
13328607a0
141c9b4168
15129b30cc
hexbfba910

201042192 has 160 divisors (see below), whose sum is σ = 608849920. Its totient is φ = 56609280.

The previous prime is 201042169. The next prime is 201042199. The reversal of 201042192 is 291240102.

It is not an unprimeable number, because it can be changed into a prime (201042199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367263 + ... + 367809.

It is an arithmetic number, because the mean of its divisors is an integer number (3805312).

Almost surely, 2201042192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201042192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304424960).

201042192 is an abundant number, since it is smaller than the sum of its proper divisors (407807728).

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

201042192 is a wasteful number, since it uses less digits than its factorization.

201042192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 201042192 is about 14178.9347977907. The cubic root of 201042192 is about 585.8175842737.

Adding to 201042192 its reverse (291240102), we get a palindrome (492282294).

The spelling of 201042192 in words is "two hundred one million, forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 31 38 39 48 52 57 62 76 78 93 104 114 124 152 156 186 208 228 247 248 304 312 372 403 456 494 496 547 589 624 741 744 806 912 988 1094 1178 1209 1482 1488 1612 1641 1767 1976 2188 2356 2418 2964 3224 3282 3534 3952 4376 4712 4836 5928 6448 6564 7068 7111 7657 8752 9424 9672 10393 11856 13128 14136 14222 15314 16957 19344 20786 21333 22971 26256 28272 28444 30628 31179 33914 41572 42666 45942 50871 56888 61256 62358 67828 83144 85332 91884 101742 113776 122512 124716 135109 135656 166288 170664 183768 203484 220441 249432 270218 271312 322183 341328 367536 405327 406968 440882 498864 540436 644366 661323 810654 813936 881764 966549 1080872 1288732 1322646 1621308 1763528 1933098 2161744 2577464 2645292 3242616 3527056 3866196 4188379 5154928 5290584 6485232 7732392 8376758 10581168 12565137 15464784 16753516 25130274 33507032 50260548 67014064 100521096 201042192