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211000000 = 2656211
BaseRepresentation
bin11001001001110…
…01101011000000
3112201000220120211
430210321223000
5413004000000
632534243504
75141320231
oct1444715300
9481026524
10211000000
11a9116472
125a7b6594
1334939093
1420047088
15137cd7ba
hexc939ac0

211000000 has 98 divisors (see below), whose sum is σ = 525852644. Its totient is φ = 84000000.

The previous prime is 210999983. The next prime is 211000007. The reversal of 211000000 is 112.

211000000 is digitally balanced in base 3, 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 (4).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (211000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999895 + ... + 1000105.

Almost surely, 2211000000 is an apocalyptic number.

211000000 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 211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262926322).

211000000 is an abundant number, since it is smaller than the sum of its proper divisors (314852644).

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

211000000 is an frugal number, since it uses more digits than its factorization.

211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 211000000 is about 14525.8390463340. The cubic root of 211000000 is about 595.3341813139.

Adding to 211000000 its reverse (112), we get a palindrome (211000112).

The spelling of 211000000 in words is "two hundred eleven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 211 250 320 400 422 500 625 800 844 1000 1055 1250 1600 1688 2000 2110 2500 3125 3376 4000 4220 5000 5275 6250 6752 8000 8440 10000 10550 12500 13504 15625 16880 20000 21100 25000 26375 31250 33760 40000 42200 50000 52750 62500 67520 84400 100000 105500 125000 131875 168800 200000 211000 250000 263750 337600 422000 500000 527500 659375 844000 1000000 1055000 1318750 1688000 2110000 2637500 3296875 4220000 5275000 6593750 8440000 10550000 13187500 21100000 26375000 42200000 52750000 105500000 211000000