Search a number
-
+
212020232202 = 23237953334049
BaseRepresentation
bin1100010101110101100…
…1000000000000001010
3202021021001110202012200
43011131121000000022
511433204134412302
6241222321221030
721214026144522
oct3053531000012
9667231422180
10212020232202
1181a0a9915a9
1235111191776
1316cbb7189cc
14a394688682
1557ad88e81c
hex315d64000a

212020232202 has 48 divisors (see below), whose sum is σ = 472289243400. Its totient is φ = 68690958336.

The previous prime is 212020232197. The next prime is 212020232213. The reversal of 212020232202 is 202232020212.

212020232202 is a `hidden beast` number, since 212 + 0 + 20 + 232 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211141169001 + 879063201 = 459501^2 + 29649^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467674 + ... + 801722.

Almost surely, 2212020232202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020232202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236144621700).

212020232202 is an abundant number, since it is smaller than the sum of its proper divisors (260269011198).

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

212020232202 is a wasteful number, since it uses less digits than its factorization.

212020232202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335047 (or 335044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212020232202 its reverse (202232020212), we get a palindrome (414252252414).

The spelling of 212020232202 in words is "two hundred twelve billion, twenty million, two hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 953 1906 2859 5718 8577 17154 35261 70522 105783 211566 317349 334049 634698 668098 1002147 2004294 3006441 6012882 12359813 24719626 37079439 74158878 111238317 222476634 318348697 636697394 955046091 1910092182 2865138273 5730276546 11778901789 23557803578 35336705367 70673410734 106010116101 212020232202