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211304220 = 223517239007
BaseRepresentation
bin11001001100000…
…11111100011100
3112201121100220020
430212003330130
5413043213340
632544552140
75144025201
oct1446037434
9481540806
10211304220
11a9303a96
125a922650
1334a146aa
14200c5ca8
151383d9d0
hexc983f1c

211304220 has 96 divisors (see below), whose sum is σ = 653764608. Its totient is φ = 50721792.

The previous prime is 211304209. The next prime is 211304257. The reversal of 211304220 is 22403112.

211304220 is digitally balanced in base 2 and base 3, because in such bases 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211304220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18957 + ... + 27963.

It is an arithmetic number, because the mean of its divisors is an integer number (6810048).

Almost surely, 2211304220 is an apocalyptic number.

211304220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326882304).

211304220 is an abundant number, since it is smaller than the sum of its proper divisors (442460388).

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

211304220 is a wasteful number, since it uses less digits than its factorization.

211304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 211304220 is about 14536.3069587843. The cubic root of 211304220 is about 595.6201617113.

Adding to 211304220 its reverse (22403112), we get a palindrome (233707332).

The spelling of 211304220 in words is "two hundred eleven million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3910 4692 5865 7820 9007 11730 18014 23460 27021 36028 45035 54042 90070 108084 135105 153119 180140 207161 270210 306238 414322 459357 540420 612476 621483 765595 828644 918714 1035805 1242966 1531190 1837428 2071610 2296785 2485932 3062380 3107415 3521737 4143220 4593570 6214830 7043474 9187140 10565211 12429660 14086948 17608685 21130422 35217370 42260844 52826055 70434740 105652110 211304220