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201405150 = 23352193773
BaseRepresentation
bin11000000000100…
…11001011011110
3112000222102221000
430000103023132
5403024431100
631552451130
74663626012
oct1400231336
9460872830
10201405150
11a3762741
1257549aa6
1332959a5b
141ca6a542
1512a35900
hexc0132de

201405150 has 96 divisors (see below), whose sum is σ = 558580320. Its totient is φ = 53360640.

The previous prime is 201405143. The next prime is 201405151. The reversal of 201405150 is 51504102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201405151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260164 + ... + 260936.

It is an arithmetic number, because the mean of its divisors is an integer number (5818545).

Almost surely, 2201405150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201405150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279290160).

201405150 is an abundant number, since it is smaller than the sum of its proper divisors (357175170).

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

201405150 is a wasteful number, since it uses less digits than its factorization.

201405150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 201405150 is about 14191.7282245680. The cubic root of 201405150 is about 586.1699138801.

Adding to 201405150 its reverse (51504102), we get a palindrome (252909252).

The spelling of 201405150 in words is "two hundred one million, four hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 193 225 270 386 450 579 675 773 965 1158 1350 1546 1737 1930 2319 2895 3474 3865 4638 4825 5211 5790 6957 7730 8685 9650 10422 11595 13914 14475 17370 19325 20871 23190 26055 28950 34785 38650 41742 43425 52110 57975 69570 86850 104355 115950 130275 149189 173925 208710 260550 298378 347850 447567 521775 745945 895134 1043550 1342701 1491890 2237835 2685402 3729725 4028103 4475670 6713505 7459450 8056206 11189175 13427010 20140515 22378350 33567525 40281030 67135050 100702575 201405150