Search a number
-
+
212001233024 = 277233801217
BaseRepresentation
bin1100010101110001000…
…0100001100010000000
3202021012201201111020102
43011130100201202000
511433134303424044
6241220402101532
721213405514400
oct3053420414200
9667181644212
10212001233024
1181a001951a9
123510694a8a8
1316cb77c5ca9
14a391d40800
1557abd8a24e
hex315c421880

212001233024 has 48 divisors (see below), whose sum is σ = 491300703630. Its totient is φ = 90857668608.

The previous prime is 212001232973. The next prime is 212001233029. The reversal of 212001233024 is 420332100212.

212001233024 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 only one way, i.e., 193100482624 + 18900750400 = 439432^2 + 137480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212001232987 and 212001233005.

It is not an unprimeable number, because it can be changed into a prime (212001233029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16894337 + ... + 16906880.

Almost surely, 2212001233024 is an apocalyptic number.

It is an amenable number.

212001233024 is an abundant number, since it is smaller than the sum of its proper divisors (279299470606).

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

212001233024 is an equidigital number, since it uses as much as digits as its factorization.

212001233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33801245 (or 33801226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212001233024 its reverse (420332100212), we get a palindrome (632333333236).

The spelling of 212001233024 in words is "two hundred twelve billion, one million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 33801217 67602434 135204868 236608519 270409736 473217038 540819472 946434076 1081638944 1656259633 1892868152 2163277888 3312519266 3785736304 4326555776 6625038532 7571472608 13250077064 15142945216 26500154128 30285890432 53000308256 106000616512 212001233024