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249124212 = 223231322109
BaseRepresentation
bin11101101100101…
…01010101110100
3122100202211011200
432312111111310
51002233433322
640415332500
76113343441
oct1666252564
9570684150
10249124212
11118695787
126b521130
133c7c6b9c
142512c9c8
1516d0e8ac
hexed95574

249124212 has 36 divisors (see below), whose sum is σ = 631771140. Its totient is φ = 82772352.

The previous prime is 249124199. The next prime is 249124223. The reversal of 249124212 is 212421942.

249124212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 237591396 = 3396^2 + 15414^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 22322.

Almost surely, 2249124212 is an apocalyptic number.

It is an amenable number.

249124212 is an abundant number, since it is smaller than the sum of its proper divisors (382646928).

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

249124212 is a wasteful number, since it uses less digits than its factorization.

249124212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22432 (or 22427 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 249124212 is about 15783.6691551743. The cubic root of 249124212 is about 629.2240484561.

The spelling of 249124212 in words is "two hundred forty-nine million, one hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 22109 44218 66327 88436 132654 198981 265308 397962 795924 6920117 13840234 20760351 27680468 41520702 62281053 83041404 124562106 249124212