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212885937 = 321119113177
BaseRepresentation
bin11001011000001…
…10000110110001
3112211120201121100
430230012012301
5413444322222
633042515013
75163333465
oct1454060661
9484521540
10212885937
11aa1943a0
125b365a69
1335149614
14203b84a5
1513a524ac
hexcb061b1

212885937 has 24 divisors (see below), whose sum is σ = 353115360. Its totient is φ = 122230080.

The previous prime is 212885929. The next prime is 212885941. The reversal of 212885937 is 739588212.

It is a happy number.

It is not a de Polignac number, because 212885937 - 23 = 212885929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212885892 and 212885901.

It is not an unprimeable number, because it can be changed into a prime (212885977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54708 + ... + 58469.

It is an arithmetic number, because the mean of its divisors is an integer number (14713140).

Almost surely, 2212885937 is an apocalyptic number.

It is an amenable number.

212885937 is a deficient number, since it is larger than the sum of its proper divisors (140229423).

212885937 is a wasteful number, since it uses less digits than its factorization.

212885937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113213 (or 113210 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 212885937 is about 14590.6112620411. The cubic root of 212885937 is about 597.1026396929.

It can be divided in two parts, 21288 and 5937, that added together give a square (27225 = 1652).

The spelling of 212885937 in words is "two hundred twelve million, eight hundred eighty-five thousand, nine hundred thirty-seven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 113177 339531 1018593 1244947 2150363 3734841 6451089 11204523 19353267 23653993 70961979 212885937