Search a number
-
+
211033020 = 223511319747
BaseRepresentation
bin11001001010000…
…01101110111100
3112201002120212210
430211001232330
5413011024040
632535100420
75141515422
oct1445015674
9481076783
10211033020
11a9139260
125a811710
133494b113
1420055112
15137d8480
hexc941bbc

211033020 has 48 divisors (see below), whose sum is σ = 644611968. Its totient is φ = 51159360.

The previous prime is 211033013. The next prime is 211033063. The reversal of 211033020 is 20330112.

It is a happy number.

211033020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211032987 and 211033005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159214 + ... + 160533.

It is an arithmetic number, because the mean of its divisors is an integer number (13429416).

Almost surely, 2211033020 is an apocalyptic number.

211033020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211033020 is an abundant number, since it is smaller than the sum of its proper divisors (433578948).

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

211033020 is a wasteful number, since it uses less digits than its factorization.

211033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319770 (or 319768 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 211033020 is about 14526.9755971434. The cubic root of 211033020 is about 595.3652348831.

Adding to 211033020 its reverse (20330112), we get a palindrome (231363132).

The spelling of 211033020 in words is "two hundred eleven million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 319747 639494 959241 1278988 1598735 1918482 3197470 3517217 3836964 4796205 6394940 7034434 9592410 10551651 14068868 17586085 19184820 21103302 35172170 42206604 52758255 70344340 105516510 211033020