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211413150 = 232521371509
BaseRepresentation
bin11001001100111…
…10100010011110
3112201210220022200
430212132202132
5413110210100
632551152330
75144660604
oct1446364236
9481726280
10211413150
11a9378913
125a9756a6
1334a52150
1420113874
1513860e00
hexc99e89e

211413150 has 144 divisors (see below), whose sum is σ = 621522720. Its totient is φ = 51206400.

The previous prime is 211413127. The next prime is 211413151. The reversal of 211413150 is 51314112.

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 (211413151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415096 + ... + 415604.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 2211413150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211413150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310761360).

211413150 is an abundant number, since it is smaller than the sum of its proper divisors (410109570).

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

211413150 is a wasteful number, since it uses less digits than its factorization.

211413150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 211413150 is about 14540.0533011403. The cubic root of 211413150 is about 595.7224940396.

Adding to 211413150 its reverse (51314112), we get a palindrome (262727262).

The spelling of 211413150 in words is "two hundred eleven million, four hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 71 75 78 90 117 130 142 150 195 213 225 234 325 355 390 426 450 509 585 639 650 710 923 975 1018 1065 1170 1278 1527 1775 1846 1950 2130 2545 2769 2925 3054 3195 3550 4581 4615 5090 5325 5538 5850 6390 6617 7635 8307 9162 9230 10650 12725 13234 13845 15270 15975 16614 19851 22905 23075 25450 27690 31950 33085 36139 38175 39702 41535 45810 46150 59553 66170 69225 72278 76350 83070 99255 108417 114525 119106 138450 165425 180695 198510 207675 216834 229050 297765 325251 330850 361390 415350 469807 496275 542085 595530 650502 903475 939614 992550 1084170 1409421 1488825 1626255 1806950 2349035 2710425 2818842 2977650 3252510 4228263 4698070 5420850 7047105 8131275 8456526 11745175 14094210 16262550 21141315 23490350 35235525 42282630 70471050 105706575 211413150