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212040933 = 31323972437
BaseRepresentation
bin11001010001101…
…11110011100101
3112202222210110220
430220313303211
5413240302213
633012434553
75153214066
oct1450676345
9482883426
10212040933
11a9767545
125b018a59
1334c11b10
142023856d
1513936e23
hexca37ce5

212040933 has 32 divisors (see below), whose sum is σ = 321113856. Its totient is φ = 123475968.

The previous prime is 212040929. The next prime is 212040973. The reversal of 212040933 is 339040212.

It is not a de Polignac number, because 212040933 - 22 = 212040929 is a prime.

It is a super-2 number, since 2×2120409332 = 89922714535020978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212040973) 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, 85791 + ... + 88227.

It is an arithmetic number, because the mean of its divisors is an integer number (10034808).

Almost surely, 2212040933 is an apocalyptic number.

212040933 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212040933 is a deficient number, since it is larger than the sum of its proper divisors (109072923).

212040933 is a wasteful number, since it uses less digits than its factorization.

212040933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 212040933 is about 14561.6253557081. The cubic root of 212040933 is about 596.3115694851.

The spelling of 212040933 in words is "two hundred twelve million, forty thousand, nine hundred thirty-three".

Divisors: 1 3 13 23 39 69 97 291 299 897 1261 2231 2437 3783 6693 7311 29003 31681 56051 87009 95043 168153 236389 709167 728663 2185989 3073057 5436947 9219171 16310841 70680311 212040933