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212311953 = 3272481433
BaseRepresentation
bin11001010011110…
…01111110010001
3112210111120020200
430221321332101
5413322440303
633022325413
75155423200
oct1451717621
9483446220
10212311953
11a9932127
125b129869
1334ca8299
14202a9237
151398c3a3
hexca79f91

212311953 has 18 divisors (see below), whose sum is σ = 356742594. Its totient is φ = 121320864.

The previous prime is 212311907. The next prime is 212311961. The reversal of 212311953 is 359113212.

It can be written as a sum of positive squares in only one way, i.e., 202123089 + 10188864 = 14217^2 + 3192^2 .

It is not a de Polignac number, because 212311953 - 212 = 212307857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212311993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 240276 + ... + 241157.

It is an arithmetic number, because the mean of its divisors is an integer number (19819033).

Almost surely, 2212311953 is an apocalyptic number.

It is an amenable number.

212311953 is a deficient number, since it is larger than the sum of its proper divisors (144430641).

212311953 is a wasteful number, since it uses less digits than its factorization.

212311953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481453 (or 481443 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 212311953 is about 14570.9283506577. The cubic root of 212311953 is about 596.5655197535.

The spelling of 212311953 in words is "two hundred twelve million, three hundred eleven thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 147 441 481433 1444299 3370031 4332897 10110093 23590217 30330279 70770651 212311953