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212172114 = 237111014547
BaseRepresentation
bin11001010010101…
…11110101010010
3112210020110102110
430221113311102
5413304001424
633015330150
75154301410
oct1451276522
9483213373
10212172114
11a9847060
125b080956
1334c5973b
14202702b0
1513960c29
hexca57d52

212172114 has 64 divisors (see below), whose sum is σ = 534408192. Its totient is φ = 54552000.

The previous prime is 212172113. The next prime is 212172137. The reversal of 212172114 is 411271212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212172113) 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, 44389 + ... + 48935.

It is an arithmetic number, because the mean of its divisors is an integer number (8350128).

Almost surely, 2212172114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212172114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267204096).

212172114 is an abundant number, since it is smaller than the sum of its proper divisors (322236078).

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

212172114 is a wasteful number, since it uses less digits than its factorization.

212172114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671.

The product of its digits is 224, while the sum is 21.

The square root of 212172114 is about 14566.1289984676. The cubic root of 212172114 is about 596.4345152783.

The spelling of 212172114 in words is "two hundred twelve million, one hundred seventy-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2121 2222 3333 4242 4547 6666 7777 9094 13641 15554 23331 27282 31829 46662 50017 63658 95487 100034 150051 190974 300102 350119 459247 700238 918494 1050357 1377741 2100714 2755482 3214729 5051717 6429458 9644187 10103434 15155151 19288374 30310302 35362019 70724038 106086057 212172114