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211630380 = 223513377333
BaseRepresentation
bin11001001110100…
…11100100101100
3112202012221022020
430213103210230
5413134133010
632555550140
75146554123
oct1447234454
9482187266
10211630380
11a9507045
125aa5b350
1334ac9ca0
142016caba
15138a5470
hexc9d392c

211630380 has 96 divisors (see below), whose sum is σ = 655483584. Its totient is φ = 50678784.

The previous prime is 211630361. The next prime is 211630409. The reversal of 211630380 is 83036112.

211630380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 211630380.

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, 25194 + ... + 32526.

It is an arithmetic number, because the mean of its divisors is an integer number (6827954).

Almost surely, 2211630380 is an apocalyptic number.

211630380 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 211630380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327741792).

211630380 is an abundant number, since it is smaller than the sum of its proper divisors (443853204).

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

211630380 is a wasteful number, since it uses less digits than its factorization.

211630380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 211630380 is about 14547.5214383757. The cubic root of 211630380 is about 595.9264619566.

Adding to 211630380 its reverse (83036112), we get a palindrome (294666492).

The spelling of 211630380 in words is "two hundred eleven million, six hundred thirty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 7333 9620 14430 14666 21999 28860 29332 36665 43998 73330 87996 95329 109995 146660 190658 219990 271321 285987 381316 439980 476645 542642 571974 813963 953290 1085284 1143948 1356605 1429935 1627926 1906580 2713210 2859870 3255852 3527173 4069815 5426420 5719740 7054346 8139630 10581519 14108692 16279260 17635865 21163038 35271730 42326076 52907595 70543460 105815190 211630380