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211314030 = 235371271499
BaseRepresentation
bin11001001100001…
…10010101101110
3112201121212100120
430212012111232
5413044022110
632545105410
75144065614
oct1446062556
9481555316
10211314030
11a93103a4
125a928266
1334a18cb5
14200c96b4
1513841870
hexc98656e

211314030 has 64 divisors (see below), whose sum is σ = 525312000. Its totient is φ = 54359424.

The previous prime is 211314023. The next prime is 211314031. The reversal of 211314030 is 30413112.

211314030 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211314031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140221 + ... + 141719.

It is an arithmetic number, because the mean of its divisors is an integer number (8208000).

Almost surely, 2211314030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262656000).

211314030 is an abundant number, since it is smaller than the sum of its proper divisors (313997970).

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

211314030 is a wasteful number, since it uses less digits than its factorization.

211314030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 211314030 is about 14536.6443858272. The cubic root of 211314030 is about 595.6293789801.

Adding to 211314030 its reverse (30413112), we get a palindrome (241727142).

The spelling of 211314030 in words is "two hundred eleven million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 127 185 222 254 370 381 555 635 762 1110 1270 1499 1905 2998 3810 4497 4699 7495 8994 9398 14097 14990 22485 23495 28194 44970 46990 55463 70485 110926 140970 166389 190373 277315 332778 380746 554630 571119 831945 951865 1142238 1663890 1903730 2855595 5711190 7043801 14087602 21131403 35219005 42262806 70438010 105657015 211314030