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213040212 = 223711230563
BaseRepresentation
bin11001011001010…
…11110001010100
3112211212120020020
430230223301110
5414014241322
633050105140
75164545330
oct1454536124
9484776206
10213040212
11aa28a2a0
125b41b1b0
13351a18c8
14204187c0
1513a8305c
hexcb2bc54

213040212 has 48 divisors (see below), whose sum is σ = 619756032. Its totient is φ = 55334880.

The previous prime is 213040211. The next prime is 213040213. The reversal of 213040212 is 212040312.

213040212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213040211) and next prime (213040213).

It is a super-2 number, since 2×2130402122 = 90772263858009888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213040191 and 213040200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213040211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114358 + ... + 116205.

It is an arithmetic number, because the mean of its divisors is an integer number (12911584).

Almost surely, 2213040212 is an apocalyptic number.

213040212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213040212 is an abundant number, since it is smaller than the sum of its proper divisors (406715820).

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

213040212 is a wasteful number, since it uses less digits than its factorization.

213040212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230588 (or 230586 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213040212 is about 14595.8970947318. The cubic root of 213040212 is about 597.2468417444.

Adding to 213040212 its reverse (212040312), we get a palindrome (425080524).

The spelling of 213040212 in words is "two hundred thirteen million, forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 230563 461126 691689 922252 1383378 1613941 2536193 2766756 3227882 4841823 5072386 6455764 7608579 9683646 10144772 15217158 17753351 19367292 30434316 35506702 53260053 71013404 106520106 213040212