Search a number
-
+
211144140 = 223252351001
BaseRepresentation
bin11001001010111…
…00110111001100
3112201022020022100
430211130313030
5413023103030
632541315100
75142460404
oct1445346714
9481266270
10211144140
11a9204799
125a865a90
133498987c
1420083804
151380b360
hexc95cdcc

211144140 has 72 divisors (see below), whose sum is σ = 668330208. Its totient is φ = 53856000.

The previous prime is 211144133. The next prime is 211144189. The reversal of 211144140 is 41441112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21361 + ... + 29640.

It is an arithmetic number, because the mean of its divisors is an integer number (9282364).

Almost surely, 2211144140 is an apocalyptic number.

211144140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211144140 is an abundant number, since it is smaller than the sum of its proper divisors (457186068).

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

211144140 is a wasteful number, since it uses less digits than its factorization.

211144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51039 (or 51034 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 211144140 is about 14530.7997027005. The cubic root of 211144140 is about 595.4697135986.

Adding to 211144140 its reverse (41441112), we get a palindrome (252585252).

The spelling of 211144140 in words is "two hundred eleven million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 51001 102002 153003 204004 255005 306006 459009 510010 612012 765015 918018 1020020 1173023 1530030 1836036 2295045 2346046 3060060 3519069 4590090 4692092 5865115 7038138 9180180 10557207 11730230 14076276 17595345 21114414 23460460 35190690 42228828 52786035 70381380 105572070 211144140